@article{article,
author = {Pe\v{c}ari\'{c}, \DJilda and Pe\v{c}ari\'{c}, Josip and Rodi\'{c}, Mirna},
year = {2019},
pages = {1463-1475},
DOI = {10.7153/mia-2019-22-102},
keywords = {Green function, Jensen inequality, f−divergence, Zipf-Mandelbrot law},
journal = {Mathematical inequalities and applications},
doi = {10.7153/mia-2019-22-102},
volume = {22},
number = {4},
title = {On a Jensen–type inequality for generalized f–divergences and Zipf–Mandelbrot law},
keyword = {Green function, Jensen inequality, f−divergence, Zipf-Mandelbrot law}
}
@article{article,
author = {Pe\v{c}ari\'{c}, Josip and Rodi\'{c}, Mirna},
year = {2019},
pages = {289-310},
keywords = {Green function, Jensen’s inequality, converse Jensen’s inequality, Hermite-Hadamard’s inequality},
journal = {Mathematical reports},
volume = {21(71)},
number = {3},
title = {Uniform treatment of Jensen type inequalities II},
keyword = {Green function, Jensen’s inequality, converse Jensen’s inequality, Hermite-Hadamard’s inequality}
}
@phdthesis{phdthesis,
author = {Grguri\'{c}, Ana},
year = {2019},
pages = {34},
keywords = {geometry, fashion figure, fashion illustration},
title = {Geometry in fashion illustration},
keyword = {geometry, fashion figure, fashion illustration},
publisherplace = {Zagreb}
}
@phdthesis{phdthesis,
author = {Franceti\'{c}, Ivana},
year = {2019},
pages = {33},
keywords = {Spiral, shell, textile design, logarithmic spiral, Nautilus},
title = {Shell spiral and its application in textile design},
keyword = {Spiral, shell, textile design, logarithmic spiral, Nautilus},
publisherplace = {Zagreb, Hrvatska}
}
@article{article,
author = {Pe\v{c}ari\'{c}, \DJilda and Pe\v{c}ari\'{c}, Josip and Rodi\'{c}, Mirna},
year = {2018},
pages = {12},
DOI = {10.1186/s13660-018-1923-4},
chapter = {337},
keywords = {Green function, Jensen’s inequality, f-divergence, Entropy, Zipf–Mandelbrot law},
journal = {Journal of inequalities and applications},
doi = {10.1186/s13660-018-1923-4},
volume = {2018},
title = {About the sharpness of the Jensen inequality},
keyword = {Green function, Jensen’s inequality, f-divergence, Entropy, Zipf–Mandelbrot law},
chapternumber = {337}
}
@article{article,
author = {Rodi\'{c}, Mirna},
editor = {Simsek, Yilmaz},
year = {2018},
pages = {60-60},
keywords = {logarithmic mean, extended logarithmic mean, generalized logarithmic mean, power mean},
title = {On the comparison of two different one-parametric generalizations of the logarithmic mean},
keyword = {logarithmic mean, extended logarithmic mean, generalized logarithmic mean, power mean},
publisherplace = {Antalya, Turska}
}
@phdthesis{phdthesis,
author = {Bakuni\'{c}, Mia},
year = {2018},
pages = {38},
keywords = {fashion accessories, geometric shapes, aesthetics, accent, shape elements},
title = {Geometric shapes as an inspiration in creating fashion accessories},
keyword = {fashion accessories, geometric shapes, aesthetics, accent, shape elements},
publisherplace = {Zagreb, Hrvatska}
}
@phdthesis{phdthesis,
author = {Herceg, Lucija},
year = {2018},
pages = {41},
keywords = {geometry, geometric shapes, lace, lace creation},
title = {Influence of geometry on lace creation},
keyword = {geometry, geometric shapes, lace, lace creation},
publisherplace = {Zagreb, Hrvatska}
}
@article{article,
author = {Rodi\'{c}, Mirna},
year = {2018},
pages = {35-35},
keywords = {mathematics, geometry, design, textile, fashion},
title = {Geometry – design – textile – fashion},
keyword = {mathematics, geometry, design, textile, fashion},
publisherplace = {Vodnjan (Peroj), Hrvatska}
}
@phdthesis{phdthesis,
author = {\DJuranec, Mateja},
year = {2018},
pages = {33},
keywords = {golden mean, fashion, clothing, design},
title = {Golden mean and its application in clothing and fashion},
keyword = {golden mean, fashion, clothing, design},
publisherplace = {Zagreb, Hrvatska}
}
@phdthesis{phdthesis,
author = {Guli\v{s}ija, Petra},
year = {2018},
pages = {41},
keywords = {geometry, textile design, fashion design},
title = {Geometry as inspiration for textile design and fashion design},
keyword = {geometry, textile design, fashion design},
publisherplace = {Zagreb, Hrvatska}
}
@phdthesis{phdthesis,
author = {Domljan, Lucija},
year = {2018},
pages = {43},
keywords = {textile, geometry, geometric shapes, design, interior, living space},
title = {Development of geometric shapes on textile in the design of living space},
keyword = {textile, geometry, geometric shapes, design, interior, living space},
publisherplace = {Zagreb, Hrvatska}
}
@article{article,
author = {Rodi\'{c}, Mirna and Pe\v{c}ari\'{c}, Josip},
editor = {Agli\'{c} Aljinovi\'{c}, Andrea and Elezovi\'{c}, Neven and Rodi\'{c}, Mirna},
year = {2018},
pages = {67-67},
keywords = {Jensen inequality, Green function, Hermite-Hadamard inequality},
title = {Uniform treatment of Jensen-type inequalities using several different Green functions},
keyword = {Jensen inequality, Green function, Hermite-Hadamard inequality},
publisher = {Element},
publisherplace = {Zagreb, Hrvatska}
}
@article{article,
author = {Rodi\'{c}, Mirna and Krni\'{c}, Mario and Pe\v{c}ari\'{c}, Josip},
editor = {Agli\'{c} Aljinovi\'{c}, Andrea and Elezovi\'{c}, Neven and Rodi\'{c}, Mirna},
year = {2018},
pages = {68-68},
keywords = {Jensen inequality, Green function, refinement, convex function, exponentially convex function, Cauchy-type mean},
title = {More accurate Jensen-type inequalities for signed measures},
keyword = {Jensen inequality, Green function, refinement, convex function, exponentially convex function, Cauchy-type mean},
publisher = {Element},
publisherplace = {Zagreb, Hrvatska}
}
@phdthesis{phdthesis,
author = {Vargovi\'{c}, Lana},
year = {2017},
pages = {31},
keywords = {golden mean, textile design},
title = {Golden mean as inspiration for textile design},
keyword = {golden mean, textile design},
publisherplace = {Zagreb}
}
@phdthesis{phdthesis,
author = {Krstanovi\'{c}, \v{Z}eljka},
year = {2017},
pages = {52},
keywords = {lace, geometric shapes, patterns},
title = {Geometry of lace},
keyword = {lace, geometric shapes, patterns},
publisherplace = {Zagreb}
}
@phdthesis{phdthesis,
author = {Zelenika, Katarina},
year = {2017},
pages = {38},
keywords = {ornament, culture, geometry, symmetry, pattern},
title = {Geometric patterns and ornaments in textiles of different cultures},
keyword = {ornament, culture, geometry, symmetry, pattern},
publisherplace = {Zagreb}
}
@phdthesis{phdthesis,
author = {Zeba, Antonela},
year = {2017},
pages = {32},
keywords = {geometry, fashion},
title = {Geometry and Fashion},
keyword = {geometry, fashion},
publisherplace = {Zagreb}
}
@phdthesis{phdthesis,
author = {Ani\'{c}-Bo\v{z}i\'{c}, Petra},
year = {2017},
pages = {36},
keywords = {geometric shapes, clothes, jewelery, ancient civilizations, Egypt, Greece, Rome},
title = {Geometric shapes in the clothing of ancient civilizations},
keyword = {geometric shapes, clothes, jewelery, ancient civilizations, Egypt, Greece, Rome},
publisherplace = {Zagreb}
}
@phdthesis{phdthesis,
author = {Voloder, Ana},
year = {2017},
pages = {36},
keywords = {geometry, traditional garments, textile, shape, Split},
title = {Geometry of traditional garments and textiles of Split and its surroundings},
keyword = {geometry, traditional garments, textile, shape, Split},
publisherplace = {Zagreb}
}
@phdthesis{phdthesis,
author = {Ma\djarevi\'{c}, Tatjana},
year = {2017},
pages = {37},
keywords = {geometric shapes, textile, fashion},
title = {Geometric shapes on textile},
keyword = {geometric shapes, textile, fashion},
publisherplace = {Zagreb}
}
@phdthesis{phdthesis,
author = {\v{C}ule, Paula},
year = {2017},
pages = {31},
keywords = {geometry, design, fashion},
title = {Geometry, design and fashion},
keyword = {geometry, design, fashion},
publisherplace = {Zagreb}
}
@phdthesis{phdthesis,
author = {Boban, Nikolina},
year = {2017},
pages = {39},
keywords = {golden section, fashion, art, geometry, ratio, Fibonacci numbers},
title = {Golden section and fashion},
keyword = {golden section, fashion, art, geometry, ratio, Fibonacci numbers},
publisherplace = {Zagreb}
}
@article{article,
author = {Krni\'{c}, Mario and Pe\v{c}ari\'{c}, Josip and Rodi\'{c}, Mirna},
year = {2017},
pages = {1482-1496},
keywords = {Jensen inequality, Green function, refinement, convex function, exponetially convex function, Cauchy-type mean.},
journal = {Turkish Journal of Mathematics},
volume = {41},
number = {6},
title = {More accurate Jensen-type inequalities for signed measures characterized via Green function and applications},
keyword = {Jensen inequality, Green function, refinement, convex function, exponetially convex function, Cauchy-type mean.}
}
@article{article,
author = {Miki\'{c}, Rozarija and Pe\v{c}ari\'{c}, Josip and Rodi\'{c}, Mirna},
year = {2017},
pages = {4-1-4-},
DOI = {10.1186/s13660-016-1274-y},
keywords = {Jensen’s inequality, converse Jensen’s inequality, Hermite-Hadamard’s inequality, Giaccardi’s inequality, Levinson’s inequality, Green function, mean-value theorems},
journal = {Journal of inequalities and applications},
doi = {10.1186/s13660-016-1274-y},
number = {1},
title = {Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure},
keyword = {Jensen’s inequality, converse Jensen’s inequality, Hermite-Hadamard’s inequality, Giaccardi’s inequality, Levinson’s inequality, Green function, mean-value theorems}
}
@phdthesis{phdthesis,
author = {Cesarec, Marina},
year = {2016},
pages = {42},
keywords = {Islamic geometric design, geometrical patterns},
title = {Islamic geometric design as a starting point for making textile patterns},
keyword = {Islamic geometric design, geometrical patterns},
publisherplace = {Zagreb}
}
@phdthesis{phdthesis,
author = {Lon\v{c}ari\'{c}, Lara},
year = {2016},
pages = {30},
keywords = {Andean peoples, geometric shapes, textile, patterns},
title = {Geometric shapes on textile of Andean peoples},
keyword = {Andean peoples, geometric shapes, textile, patterns},
publisherplace = {Zagreb}
}
@phdthesis{phdthesis,
author = {Mari\'{c}, Analisa},
year = {2016},
pages = {61},
keywords = {spiral, golden section, overall, author's collection},
title = {The spiral as inspiration in creating and designing garments},
keyword = {spiral, golden section, overall, author's collection},
publisherplace = {Zagreb}
}
@article{article,
author = {Rodi\'{c}, Mirna and Miki\'{c}, Rozarija and Pe\v{c}ari\'{c}, Josip},
editor = {Andri\'{c}, Maja and Tipuri\'{c}-Spu\v{z}evi\'{c}, Sanja and Varo\v{s}anec, Sanja},
year = {2015},
pages = {68-68},
keywords = {Levinson inequality, Green function, Jensen inequality, converse of the Jensen inequality, mean value theorems},
title = {Levinson's type generalization of the Jensen inequality and its converse for real Stieltjes measure},
keyword = {Levinson inequality, Green function, Jensen inequality, converse of the Jensen inequality, mean value theorems},
publisher = {Faculty of Science and Education, University of Mostar},
publisherplace = {Mostar, Bosna i Hercegovina}
}
@phdthesis{phdthesis,
author = {Jankovi\'{c}, Nika},
year = {2015},
pages = {58},
keywords = {disk, circle, op-art, pop-art, textile design, fashion design, interior design, coaxial system, conversation pit},
title = {Disk and circle in textile design and interior design in the '60s and '70s of the twentieth century},
keyword = {disk, circle, op-art, pop-art, textile design, fashion design, interior design, coaxial system, conversation pit},
publisherplace = {Zagreb}
}
@article{article,
author = {Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2014},
pages = {566-569},
keywords = {Vidosava (Vida) \v{S}imi\'{c}},
journal = {Glasnik matemati\v{c}ki},
volume = {49},
title = {In memoriam prof.dr.sc. Vidosava (Vida) \v{S}imi\'{c}},
keyword = {Vidosava (Vida) \v{S}imi\'{c}}
}
@article{article,
author = {Bibi, Rabia and Pe\v{c}ari\'{c}, Josip and Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2014},
pages = {580605-1-580605-12},
DOI = {10.1155/2014/580605},
keywords = {Time-scales, Jensen inequality, exponential convexity, logarithmic convexity},
journal = {International Scholarly Research Notices, Mathematical Analysis},
doi = {10.1155/2014/580605},
volume = {2014},
title = {Improvements of Jensen-Type Inequalities for Diamond-\alpha Integrals},
keyword = {Time-scales, Jensen inequality, exponential convexity, logarithmic convexity}
}
@article{article,
author = {Jak\v{s}i\'{c}, Rozarija and Pe\v{c}ari\'{c}, Josip and Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2014},
pages = {626359-1-626359-11},
DOI = {10.1155/2014/626359},
keywords = {Green function, Jensen inequality, converse of the Jensen inequality, mean value theorems, n-exponential convexity, exponential convexity, log-convexity, means},
journal = {Abstract and applied analysis},
doi = {10.1155/2014/626359},
title = {Reverses of the Jensen-type inequalities for signed measures},
keyword = {Green function, Jensen inequality, converse of the Jensen inequality, mean value theorems, n-exponential convexity, exponential convexity, log-convexity, means}
}
@article{article,
author = {Jak\v{s}i\'{c}, Rozarija and Pe\v{c}ari\'{c}, Josip and Rodi\'{c} Lipanovi\'{c}, Mirna},
editor = {Andri\'{c}, Maja and Klari\v{c}i\'{c} Bakula, Milica and Varo\v{s}anec, Sanja},
year = {2014},
pages = {59-59},
keywords = {Green function, Jensen inequality, converse of the Jensen inequality, mean value theorems, $n-$exponential convexity, exponential convexity, log-convexity, means},
title = {Reverses of the Jensen-type inequalities for signed measures},
keyword = {Green function, Jensen inequality, converse of the Jensen inequality, mean value theorems, $n-$exponential convexity, exponential convexity, log-convexity, means},
publisher = {Element},
publisherplace = {Trogir, Hrvatska}
}
@article{article,
author = {Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Ivan and Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2014},
pages = {183-205},
keywords = {Green function, Jensen inequality, Hermite-Hadamard inequality},
journal = {Mathematical reports},
volume = {16(66)},
number = {2},
title = {Uniform treatment of Jensen type inequalities},
keyword = {Green function, Jensen inequality, Hermite-Hadamard inequality}
}
@article{article,
author = {Khan, Asif R. and Pe\v{c}ari\'{c}, Josip and Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2013},
pages = {313-335},
DOI = {10.7153/jmi-07-29},
keywords = {Green function, Jensen inequality, converse of the Jensen inequality, Cauchy-type mean value theorems, n-exponential convexity, exponential convexity, log-convexity, means},
journal = {Journal of Mathematical Inequalities},
doi = {10.7153/jmi-07-29},
volume = {7},
number = {3},
title = {n-exponential convexity for Jensen-type inequalities},
keyword = {Green function, Jensen inequality, converse of the Jensen inequality, Cauchy-type mean value theorems, n-exponential convexity, exponential convexity, log-convexity, means}
}
@article{article,
author = {Khan, Asif R. and Pe\v{c}ari\'{c}, Josip and Rodi\'{c} Lipanovi\'{c}, Mirna},
editor = {Crnkovi\'{c}, Dean and Mikuli\'{c} Crnkovi\'{c}, Vedrana and Rukavina, Sanja},
year = {2012},
pages = {65-65},
keywords = {Green function, Jensen inequality, converse of the Jensen inequality, Cauchy-type mean value theorems, n-exponential convexity, means},
title = {n-exponential convexity for Jensen-type inequalities},
keyword = {Green function, Jensen inequality, converse of the Jensen inequality, Cauchy-type mean value theorems, n-exponential convexity, means},
publisher = {Department of Mathematics, University of Rijeka},
publisherplace = {Rijeka, Hrvatska}
}
@phdthesis{phdthesis,
author = {Hohnjec, Irma},
year = {2011},
pages = {27},
keywords = {Cylinder, woman’s purse},
title = {Cylinder as the inspiration for creating woman’s purse},
keyword = {Cylinder, woman’s purse},
publisherplace = {Zagreb}
}
@article{article,
author = {Anwar, Matloob and Pe\v{c}ari\'{c}, Josip and Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2011},
pages = {511-530},
DOI = {10.5556/j.tkjm.42.2011.511-530},
keywords = {Jensen’s inequality, mean-value theorems, linear functional, generalized means, generalized power mean, Cauchy-type means},
journal = {Tamkang journal of mathematics},
doi = {10.5556/j.tkjm.42.2011.511-530},
volume = {42},
number = {4},
title = {Cauchy-type means for positive linear functionals},
keyword = {Jensen’s inequality, mean-value theorems, linear functional, generalized means, generalized power mean, Cauchy-type means}
}
@article{article,
author = {Anwar, Matloob and Pe\v{c}ari\'{c}, Josip and Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2009},
pages = {10-10},
keywords = {mean-value theorem, Jensen's inequality, means, signed measure},
title = {Cauchy-type means for signed measures},
keyword = {mean-value theorem, Jensen's inequality, means, signed measure},
publisherplace = {Ohrid, Makedonija}
}
@article{article,
author = {Pe\v{c}ari\'{c}, Josip and Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2009},
pages = {891-898},
keywords = {Cauchy type mean-value theorems, Hermite-Hadamard inequality},
journal = {Southeast Asian bulletin of mathematics},
volume = {33},
number = {5},
title = {Cauchy type mean-value theorems for mid-point and trapezoidal quadrature formulas},
keyword = {Cauchy type mean-value theorems, Hermite-Hadamard inequality}
}
@article{article,
author = {Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Ivan and Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2009},
pages = {69-86},
keywords = {Hermite-Hadamard inequality, means},
journal = {Rad Hrvatske akademije znanosti i umjetnosti. Razred za matemati\v{c}ke, fizi\v{c}ke i kemijske znanosti. Matemati\v{c}ke znanosti},
volume = {503},
number = {16},
title = {Hermite-Hadamard type inequalities for Stolarsky and related means},
keyword = {Hermite-Hadamard inequality, means}
}
@article{article,
author = {Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Ivan and Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2009},
pages = {295-309},
keywords = {Complete symmetric polynomials, complete symmetric means, generalized Whiteley means, integral representations, Schur's inequality, Schur's convexity},
journal = {Mathematical Inequalities and Applications},
volume = {12},
number = {2},
title = {Integral representations of generalized Whiteley means and related inequalities},
keyword = {Complete symmetric polynomials, complete symmetric means, generalized Whiteley means, integral representations, Schur's inequality, Schur's convexity}
}
@article{article,
author = {Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2008},
pages = {22-22},
keywords = {logarithmic mean, Euclidean simplex},
title = {On the logarithmic mean in n variables},
keyword = {logarithmic mean, Euclidean simplex},
publisher = {Croatian Society for Geometry and Graphics},
publisherplace = {Pore\v{c}, Hrvatska}
}
@article{article,
author = {Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Ivan and Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2008},
pages = {49-50},
keywords = {complete symmetric polynomials, complete symmetric means, generalized Whiteley means, integral representations, Schur's inequality, Schur's convexity.},
title = {Integral representations of generalized Whiteley means and related inequalities},
keyword = {complete symmetric polynomials, complete symmetric means, generalized Whiteley means, integral representations, Schur's inequality, Schur's convexity.},
publisher = {Croatian Mathematical Society},
publisherplace = {Osijek, Hrvatska}
}
@article{article,
author = {Rodi\'{c} Lipanovi\'{c}, Mirna and Smoljak, Ksenija and \v{S}imi\'{c}, Vidosava},
year = {2008},
pages = {127-127},
keywords = {extended logarithmic mean, generalized logarithmic mean, power means},
title = {Comparison of extended logrithmic mean, generalized logarithmic mean and power means},
keyword = {extended logarithmic mean, generalized logarithmic mean, power means},
publisher = {Element, Zagreb},
publisherplace = {Trogir, Hrvatska}
}
@article{article,
author = {Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Ivan and Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2008},
pages = {117-117},
keywords = {Jensen's inequality, Green function, Jensen-Steffensen's inequality, converses of Jensen's inequality, Hermite-Hadamard's inequality},
title = {Uniform treatment of Jensen's type and converse Jensen's type inequalities for signed measures},
keyword = {Jensen's inequality, Green function, Jensen-Steffensen's inequality, converses of Jensen's inequality, Hermite-Hadamard's inequality},
publisher = {Element, Zagreb},
publisherplace = {Trogir, Hrvatska}
}
@phdthesis{phdthesis,
author = {Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2008},
pages = {147},
keywords = {convex functions, Jensen's inequality, mean value theorems, means, quasiarithmetic means, integral power means, Tobey mean, Stolarsky-Tobey mean, functional Stolarsky mean, symmetric means, complete symmetric means, generalized Whiteley means, divided differences, Hermite-Hadamard inequality, Jessen's inequality},
title = {Cauchy-type means and related results},
keyword = {convex functions, Jensen's inequality, mean value theorems, means, quasiarithmetic means, integral power means, Tobey mean, Stolarsky-Tobey mean, functional Stolarsky mean, symmetric means, complete symmetric means, generalized Whiteley means, divided differences, Hermite-Hadamard inequality, Jessen's inequality},
publisherplace = {Zagreb}
}
@article{article,
author = {Pe\v{c}ari\'{c}, Josip and Rodi\'{c} Lipanovi\'{c}, Mirna},
year = {2008},
pages = {113-120},
keywords = {divided difference, difference of integral means},
journal = {Asian-European Journal of Mathematics},
volume = {1},
number = {1},
title = {On an inequality for divided differences},
keyword = {divided difference, difference of integral means}
}
@article{article,
author = {Pe\v{c}ari\'{c}, Josip E. and Rodi\'{c} Lipanovi\'{c}, Mirna and Srivastava, H.M.},
year = {2006},
pages = {143-158},
keywords = {Mean-value theorems, Jensen's inequality, quasi-arithmetic mean, power mean, Tobey mean, Stolarsky-Tobey mean, functional Stolarsky mean, symmetric mean, Whiteley mean},
journal = {Fractional Calculus and Applied Analysis},
volume = {9},
number = {2},
title = {Some mean-value theorems of the Cauchy type},
keyword = {Mean-value theorems, Jensen's inequality, quasi-arithmetic mean, power mean, Tobey mean, Stolarsky-Tobey mean, functional Stolarsky mean, symmetric mean, Whiteley mean}
}