@article{article,
author = {Iveli\'{c} Bradanovi\'{c}, Slavica and Latif, Naveed and Pe\v{c}ari\'{c}, Josip},
year = {2019},
pages = {1192-1204},
keywords = {Sherman's inequality, n-convex function, convex function, Green function, Fink identity, Exponential convexity method, \v{C}eby\v{s}ev functional},
journal = {Ukrainian mathematical journal},
volume = {70},
number = {8},
title = {Generalizations of Sherman’s Inequality Via Fink’s Identity and Green’s Function},
keyword = {Sherman's inequality, n-convex function, convex function, Green function, Fink identity, Exponential convexity method, \v{C}eby\v{s}ev functional}
}
@article{article,
author = {Iveli\'{c} Bradanovi\'{c}, Slavica and Pe\v{c}ari\'{c}, \DJilda and Pe\v{c}ari\'{c}, Josip},
year = {2018},
pages = {8-8},
keywords = {Sherman's inequality, convex function, Csisz\'{a}r f-divergence, entropy, Zipf-Mandelbrot law, Zipf law},
title = {New Lower and Upper Bounds for f-Divergences With Applications in Information Theory},
keyword = {Sherman's inequality, convex function, Csisz\'{a}r f-divergence, entropy, Zipf-Mandelbrot law, Zipf law},
publisher = {Element},
publisherplace = {Zagreb, Hrvatska}
}
@article{article,
author = {Iveli\'{c} Bradanovi\'{c}, Slavica and Latif, Naveed and Pe\v{c}ari\'{c}, Josip},
year = {2018},
pages = {1033-1043},
keywords = {Sherman's inequality, n-convex function, convex function, Green function, Fink identity, Exponential convexity method, \v{C}eby\v{s}ev functional},
journal = {Ukrains'kyi Matematychnyi Zhurnal},
volume = {70},
number = {8},
title = {Generalizations of Sherman's inequality via Fink's identity and Green's function},
keyword = {Sherman's inequality, n-convex function, convex function, Green function, Fink identity, Exponential convexity method, \v{C}eby\v{s}ev functional}
}
@article{article,
author = {Iveli\'{c} Bradanovi\'{c}, Slavica and Latif, Naveed and Pe\v{c}ari\'{c}, \DJilda and Pe\v{c}ari\'{c}, Josip},
year = {2018},
pages = {1-21},
DOI = {10.1186/s13660-018-1692-0},
keywords = {Sherman theorem, Majorization inequality, Jensen inequality, Green},
journal = {Journal of inequalities and applications},
doi = {10.1186/s13660-018-1692-0},
volume = {2018},
number = {1},
title = {Sherman’s and related inequalities with applications in information theory},
keyword = {Sherman theorem, Majorization inequality, Jensen inequality, Green}
}
@article{article,
author = {Iveli\'{c} Bradanovi\'{c}, Slavica and Latif, Naveed and Pe\v{c}ari\'{c}, Josip},
year = {2017},
pages = {18-30},
keywords = {n-convexity, Sherman’s theorem, Taylor interpolating polynomial, Ceby\v{s}ev functional, Gruss type inequalities, Ostrowski type inequalities, exponentially convex functions, log-convex functions, means},
journal = {Journal of Inequalities and Special Functions},
volume = {8},
number = {2},
title = {Generalizations of Sherman's theorem by Taylor's formula},
keyword = {n-convexity, Sherman’s theorem, Taylor interpolating polynomial, Ceby\v{s}ev functional, Gruss type inequalities, Ostrowski type inequalities, exponentially convex functions, log-convex functions, means}
}
@article{article,
author = {Iveli\'{c} Bradanovi\'{c}, Slavica and Pe\v{c}ari\'{c}, Josip},
year = {2017},
pages = {936-947},
DOI = {10.1515/math-2017-0077},
keywords = {Sherman inequality, Majorization inequality, Jensen inequality, n-convex, Green functions, Fink identity, \v{C}eby\v{c}ev functional, Means},
journal = {Open Mathematics},
doi = {10.1515/math-2017-0077},
volume = {15},
number = {1},
title = {Extensions and improvements of Sherman’s and related inequalities for n-convex functions},
keyword = {Sherman inequality, Majorization inequality, Jensen inequality, n-convex, Green functions, Fink identity, \v{C}eby\v{c}ev functional, Means}
}
@article{article,
author = {Adil Khan, Muhammad and Iveli\'{c} Bradanovi\'{c}, Slavica},
year = {2016},
pages = {1181-1192},
keywords = {majorization, n-convexity, Schur-convexity, Sherman's theorem, Hermite's interpolating polynomial, Chebyshev functional, Gr\"{u}ss type inequalities, Ostrowski type inequalities, exponentially convex functions, log-convex functions, means},
journal = {Mathematical inequalities and applications},
volume = {19},
number = {4},
title = {Generalizations of Sherman's inequality by Hermite's interpolating polynomial},
keyword = {majorization, n-convexity, Schur-convexity, Sherman's theorem, Hermite's interpolating polynomial, Chebyshev functional, Gr\"{u}ss type inequalities, Ostrowski type inequalities, exponentially convex functions, log-convex functions, means}
}
@article{article,
author = {Adil Khan, Muhammad and Iveli\'{c} Bradanovi\'{c}, Slavica},
year = {2016},
pages = {255-270},
keywords = {majorization, n-convexity, Schur-convexity, Sherman's theorem, Hermite's interpolating polynomial, \v{C}eby\v{s}ev functional, Gr\"{u}ss type inequalities, Ostrowsky-type inequalities, exponentially convex functions, log-convex functions, means},
journal = {Konuralp Journal of Mathematics},
volume = {4},
number = {2},
title = {On Sherman's type inequalities for n-convex function with applications},
keyword = {majorization, n-convexity, Schur-convexity, Sherman's theorem, Hermite's interpolating polynomial, \v{C}eby\v{s}ev functional, Gr\"{u}ss type inequalities, Ostrowsky-type inequalities, exponentially convex functions, log-convex functions, means}
}
@article{article,
author = {Iveli\'{c} Bradanovi\'{c}, Slavica and Pe\v{c}ari\'{c}, Josip},
year = {2016},
pages = {197-219},
DOI = {10.1007/s10998-016-0154-z},
keywords = {majorization, n-convexity, Schur-convexity, Sherman's theorem, Taylor interpolating polynomial, \v{C}eby\v{s}ev functional, Gr\"{u}ss type inequalities, Ostrowsky-type inequalities, exponentially convex functions, log-convex functions, means},
journal = {Periodica Mathematica Hungarica},
doi = {10.1007/s10998-016-0154-z},
volume = {74},
number = {2},
title = {Generalizations of Sherman's inequality},
keyword = {majorization, n-convexity, Schur-convexity, Sherman's theorem, Taylor interpolating polynomial, \v{C}eby\v{s}ev functional, Gr\"{u}ss type inequalities, Ostrowsky-type inequalities, exponentially convex functions, log-convex functions, means}
}
@article{article,
author = {Iveli\'{c} Bradanovi\'{c}, Slavica and Latif, Naveed and Pe\v{c}ari\'{c}, Josip},
year = {2016},
keywords = {majorization, n-convexity, Schur-convexity, Sherman's theorem, Taylor interpolating polynomial, \v{C}eby\v{s}ev functional, Gr\"{u}ss type inequalities, Ostrowsky-type inequalities, exponentially convex functions, log-convex functions, means},
title = {Generalizations of Sherman's inequality by Taylor interpolating polynomial},
keyword = {majorization, n-convexity, Schur-convexity, Sherman's theorem, Taylor interpolating polynomial, \v{C}eby\v{s}ev functional, Gr\"{u}ss type inequalities, Ostrowsky-type inequalities, exponentially convex functions, log-convex functions, means},
publisherplace = {Rim, Italija}
}
@article{article,
author = {Iveli\'{c} Bradanovi\'{c}, Slavica and Latif, Naveed and Pe\v{c}ari\'{c}, Josip},
year = {2016},
pages = {165-1-165-17},
DOI = {10.1186/s13660-016-1091-3},
keywords = {Sherman theorem, Sherman inequality, Jensen inequality, Abel-Gontscharoff interpolating polynomial, Ostrowski type inequality},
journal = {Journal of inequalities and applications},
doi = {10.1186/s13660-016-1091-3},
volume = {2016},
title = {On an upper bound for Sherman’s inequality},
keyword = {Sherman theorem, Sherman inequality, Jensen inequality, Abel-Gontscharoff interpolating polynomial, Ostrowski type inequality}
}
@article{article,
author = {Agarwal, Ravi P. and Iveli\'{c} Bradanovi\'{c}, Slavica and Pe\v{c}ari\'{c}, Josip},
year = {2016},
pages = {6-1-6-18},
DOI = {10.1186/s13660-015-0935-6},
keywords = {majorization, n-convexity, Schur-convexity, Sherman's theorem, Lidstone interpolating polynomial, \v{C}eby\v{s}ev functional, Gr\"{u}ss type inequalities, Ostrowsky-type inequalities, exponentially convex functions, log-convex functions, means},
journal = {Journal of inequalities and applications},
doi = {10.1186/s13660-015-0935-6},
volume = {2016},
title = {Generalizations of Sherman's inequality by Lidstone's interpolating polynomial},
keyword = {majorization, n-convexity, Schur-convexity, Sherman's theorem, Lidstone interpolating polynomial, \v{C}eby\v{s}ev functional, Gr\"{u}ss type inequalities, Ostrowsky-type inequalities, exponentially convex functions, log-convex functions, means}
}
@article{article,
author = {Agarwal, Ravi P. and Iveli\'{c} Bradanovi\'{c}, Slavica and Pe\v{c}ari\'{c}, Josip},
editor = {Tosun, Murat},
year = {2015},
pages = {305-305},
keywords = {majorization, n-convexity, Schur-convexity, Sherman's theorem, Lidstone interpolating polynomial, \v{C}eby\v{s}ev functional, Gr\"{u}ss type inequalities, Ostrowsky-type inequalities, exponentially convex functions, log-convex functions, means},
title = {Generalizations of Sherman's Inequality by Lidstone's Interpolating Polynomial},
keyword = {majorization, n-convexity, Schur-convexity, Sherman's theorem, Lidstone interpolating polynomial, \v{C}eby\v{s}ev functional, Gr\"{u}ss type inequalities, Ostrowsky-type inequalities, exponentially convex functions, log-convex functions, means},
publisherplace = {Atena, Gr\v{c}ka}
}
@article{article,
author = {Iveli\'{c} Bradanovi\'{c}, Slavica and Latif, Naveed and Pe\v{c}ari\'{c}, Josip},
editor = {Varo\v{s}anec, Sanja},
year = {2015},
keywords = {Sherman inequality, Fink identity, Green function, n-convex},
title = {New generalizations of Sherman's inequality via Fink's identity and Green's function},
keyword = {Sherman inequality, Fink identity, Green function, n-convex},
publisher = {Element},
publisherplace = {Mostar, Bosna i Hercegovina}
}
@article{article,
author = {Iveli\'{c} Bradanovi\'{c}, Slavica and Pe\v{c}ari\'{c}, Josip},
editor = {Varo\v{s}anec, Sanja},
year = {2014},
keywords = {Jensen's inequality, Converse Jensen's inequality, convex hull, convex functions, Hermite-Hadamard inequality, k-simplex, barycentric coordinates},
title = {Generalizations of Converse Jensen's Inequality and Related Results},
keyword = {Jensen's inequality, Converse Jensen's inequality, convex hull, convex functions, Hermite-Hadamard inequality, k-simplex, barycentric coordinates},
publisher = {Element},
publisherplace = {Trogir, Hrvatska}
}
@article{article,
author = {Iveli\'{c}, Slavica and Pe\v{c}ari\'{c}, Josip},
year = {2013},
pages = {107-122},
keywords = {Converse Jensen-Steffensen inequality, Slater-Pe\v{c}ari\'{c} inequality, exponentially convex functions, log-convex functions, Cauchy type 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 = {17},
number = {2013},
title = {On some conversions of the Jensen-Steffensen inequality},
keyword = {Converse Jensen-Steffensen inequality, Slater-Pe\v{c}ari\'{c} inequality, exponentially convex functions, log-convex functions, Cauchy type means}
}
@article{article,
author = {Iveli\'{c}, Slavica and Klari\v{c}i\'{c} Bakula, Milica and Pe\v{c}ari\'{c}, Josip},
year = {2013},
pages = {123-138},
keywords = {Converse Jensen-Steffensen inequality, exponentially convex functions, log-convex functions, Cauchy type 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 = {17},
title = {Cauchy type means related to the converse Jensen-Steffensen inequality},
keyword = {Converse Jensen-Steffensen inequality, exponentially convex functions, log-convex functions, Cauchy type means}
}
@inbook{inbook,
author = {Abramovich, Shoshana and Iveli\'{c}, Slavica},
editor = {Bandle, Catherine and Gil\'{a}nyi, Attila and Losonczi, L\'{a}szl\'{o} and Plum, Michael},
year = {2012},
pages = {191-207},
keywords = {Superquadracity, Weaksuperquadracity, Superterzacity, Convexity, Jensen inequality, Jensen-Steffensen inequality},
title = {Reﬁnement of Inequalities Related to Convexity via Superquadracity, Weaksuperquadracity and Superterzacity},
keyword = {Superquadracity, Weaksuperquadracity, Superterzacity, Convexity, Jensen inequality, Jensen-Steffensen inequality},
publisher = {Springer Basel (Birkh\"{a}user Verlag AG)}
}
@article{article,
author = {Abramovich, Shoshana and Iveli\'{c}, Slavica and Pe\v{c}ari\'{c}, Josip},
year = {2012},
pages = {209-220},
keywords = {Euler-Lagrange identity, Bohr's inequality, convexity, superquadracity, superterzacity},
journal = {International journal of pure and applied mathematics},
volume = {74},
number = {2},
title = {Extension of the Euler-Lagrange identity by superquadratic power functions},
keyword = {Euler-Lagrange identity, Bohr's inequality, convexity, superquadracity, superterzacity}
}
@phdthesis{phdthesis,
author = {Iveli\'{c}, Slavica},
year = {2011},
pages = {126},
keywords = {Jensen's inequality, jensen-steffensen inequality, convexity, exponential convexity, means},
title = {Generalizations and refinements of the Jensen-Steffensen and its associated inequalities},
keyword = {Jensen's inequality, jensen-steffensen inequality, convexity, exponential convexity, means},
publisherplace = {Zagreb}
}
@article{article,
author = {Abramovich, Shoshana and Farid, Ghulam and Iveli\'{c}, Slavica and Pe\v{c}ari\'{c}, Josip},
year = {2011},
pages = {169-180},
keywords = {Jensen-Steffensen inequality, superquadratic functions, Cauchy Means, Monotonicity, exponential convexity, log-convexity},
journal = {Journal of Mathematical Inequalities},
volume = {5},
number = {2},
title = {On exponential convexity, Jensen-Steffensen-Boas Inequality, and Cauchy's means for superquadratic functions},
keyword = {Jensen-Steffensen inequality, superquadratic functions, Cauchy Means, Monotonicity, exponential convexity, log-convexity}
}
@article{article,
author = {Abramovich, Shoshana and Farid, Ghulam and Iveli\'{c}, Slavica and Pe\v{c}ari\'{c}, Josip},
year = {2011},
pages = {97-116},
keywords = {convex functions, Hermite-Hadamard inequalities, superquadratic functions, Cauchy means, monotonicity},
journal = {International Journal of Pure and Applied Mathematics},
volume = {69},
number = {1},
title = {More on Cauchy's means and generalizations of Hadamard inequality via converses of Jensen's inequality and superquadracity},
keyword = {convex functions, Hermite-Hadamard inequalities, superquadratic functions, Cauchy means, monotonicity}
}
@article{article,
author = {Iveli\'{c}, Slavica and Klari\v{c}i\'{c} Bakula, Milica and Pe\v{c}ari\'{c}, Josip},
year = {2011},
pages = {233-246},
DOI = {10.1007/s00010-011-0076-z},
keywords = {Jensen-Steffensen inequality, Jensen-Mercer inequality, Jensen's inequality},
journal = {Aequationes mathematicae},
doi = {10.1007/s00010-011-0076-z},
volume = {82},
number = {3},
title = {Converse Jensen-Steffensen inequality},
keyword = {Jensen-Steffensen inequality, Jensen-Mercer inequality, Jensen's inequality}
}
@article{article,
author = {Iveli\'{c}, Slavica and Pe\v{c}ari\'{c}, Josip},
year = {2011},
pages = {309565-1-309565-4},
keywords = {Jensen's inequality, converse Jensen's inequality},
journal = {Journal of inequalities and applications},
volume = {2011},
number = {2011},
title = {Remarks on "On a Converse of Jensen's Discrete Inequality" of S. Simi\'{c}},
keyword = {Jensen's inequality, converse Jensen's inequality}
}
@article{article,
author = {Iveli\'{c}, Slavica and Pe\v{c}ari\'{c}, Josip},
year = {2011},
pages = {43-60},
keywords = {Jensen's inequality, Converse Jensen's inequality, convex hull, convex functions, Hermite-Hadamard inequality, k-simplex, barycentric coordinates},
journal = {Journal of Mathematical Inequalities},
volume = {5},
number = {1},
title = {Generalizations of converse Jensen's inequality and related results},
keyword = {Jensen's inequality, Converse Jensen's inequality, convex hull, convex functions, Hermite-Hadamard inequality, k-simplex, barycentric coordinates}
}
@article{article,
author = {Iveli\'{c}, Slavica and Matkovi\'{c}, Anita and Pe\v{c}ari\'{c}, Josip},
year = {2011},
pages = {19-28},
keywords = {Jensen-Mercer operator inequality, operator convex functions, continuous fields of operators, Jensen's operator functional, quasi-arithmetic operator means},
journal = {Banach Journal of Mathematical Analysis},
volume = {5},
number = {1},
title = {On a Jensen-Mercer Operator Inequality},
keyword = {Jensen-Mercer operator inequality, operator convex functions, continuous fields of operators, Jensen's operator functional, quasi-arithmetic operator means}
}
@article{article,
author = {Iveli\'{c}, Slavica and Klari\v{c}i\'{c} Bakula, Milica and Pe\v{c}ari\'{c}, Josip},
editor = {Gil\'{a}nyi, Attila and Bessenyei, Mih\'{a}ly},
year = {2010},
pages = {36-36},
keywords = {Jensen-Steffensen inequality, Jensen-Mercer inequality, exponentially convex functions, log-convex functions, Cauchy type means},
title = {Converse Jensen-Steffensen inequality},
keyword = {Jensen-Steffensen inequality, Jensen-Mercer inequality, exponentially convex functions, log-convex functions, Cauchy type means},
publisher = {Institute of Mathematics, University of Debrecen},
publisherplace = {Hajd\'{u}szoboszl\'{o}, Ma\djarska}
}
@article{article,
author = {Abramovich, Shoshana and Iveli\'{c}, Slavica and Pe\v{c}ari\'{c}, Josip},
year = {2010},
pages = {937-949},
DOI = {10.2478/s11533-010-0055-y},
keywords = {jensen's inequality, jensen-steffensen inequality, jensen-mercer inequality, jensen-boas inequality, convex functions, superquadratic functions},
journal = {Central European journal of mathematics},
doi = {10.2478/s11533-010-0055-y},
volume = {8},
number = {5},
title = {Generalizations of Jensen-Steffensen and related integral inequalities for superquadratic functions},
keyword = {jensen's inequality, jensen-steffensen inequality, jensen-mercer inequality, jensen-boas inequality, convex functions, superquadratic functions}
}
@article{article,
author = {Abramovich, Shoshana and Iveli\'{c}, Slavica and Pe\v{c}ari\'{c}, Josip},
year = {2010},
pages = {159-169},
keywords = {Jensen-Steffensen inequality, superquadratic function, convex function},
journal = {Banach Journal of Mathematical Analysis},
volume = {4},
number = {1},
title = {Improvement of Jensen-Steffensen's inequality for superquadratic functions},
keyword = {Jensen-Steffensen inequality, superquadratic function, convex function}
}
@article{article,
author = {Iveli\'{c}, Slavica and Matkovi\'{c}, Anita and Pe\v{c}ari\'{c}, Josip},
editor = {Rehman, Atiq},
year = {2010},
pages = {5-5},
keywords = {Jensen-Mercer operator inequality, operator convex functions},
title = {On a Jensen-Mercer operator inequality},
keyword = {Jensen-Mercer operator inequality, operator convex functions},
publisher = {Abdus Salam School of Mathematical Sciences},
publisherplace = {Lahore, Pakistan}
}
@article{article,
author = {Abramovich, Shoshana and Iveli\'{c}, Slavica and Pe\v{c}ari\'{c}, Josip},
editor = {Rehman, Atiq},
year = {2010},
pages = {15-15},
keywords = {Jensen-Steffensen inequality, convex functions, superquadratic functions},
title = {Generalizations of the Jensen-Steffensen and related integral inequalities for superquadratic functions},
keyword = {Jensen-Steffensen inequality, convex functions, superquadratic functions},
publisher = {Abdus Salam School of Mathematical Sciences},
publisherplace = {Lahore, Pakistan}
}
@article{article,
author = {Iveli\'{c}, Slavica and Klari\v{c}i\'{c} Bakula, Milica and Pe\v{c}ari\'{c}, Josip},
editor = {Rehman, Atiq},
year = {2010},
pages = {3-4},
keywords = {Jensen-Steffensen inequality, Jensen-Mercer inequality, exponential convexity, logarithmic convexity},
title = {Conversions of the Jensen-Steffensen and Jensen-Mercer inequalities},
keyword = {Jensen-Steffensen inequality, Jensen-Mercer inequality, exponential convexity, logarithmic convexity},
publisher = {Abdus Salam School of Mathematical Sciences},
publisherplace = {Lahore, Pakistan}
}
@phdthesis{phdthesis,
author = {Iveli\'{c}, Slavica},
year = {2009},
pages = {116},
keywords = {Martins' inequality, Alzer's inequality, convex functions, power means},
title = {Generalizations of Martins' Inequality},
keyword = {Martins' inequality, Alzer's inequality, convex functions, power means},
publisherplace = {Zagreb}
}
@article{article,
author = {Iveli\'{c}, Slavica and Vidov, Marija},
year = {2001},
pages = {101-104},
keywords = {intelligent tutoring systems, communication module, user interface},
title = {Communication module in an intelligent tutoring systems},
keyword = {intelligent tutoring systems, communication module, user interface},
publisher = {Hrvatska udruga MIPRO},
publisherplace = {Opatija, Hrvatska}
}