The Hermite-Hadamard inequalities for $p$-convex functions
Hacettepe Journal of Mathematics and Statistics, 2021 In this paper, the Hermite-Hadamard inequality for $p-$convex function is provided. Some integral inequalities for them are also presented. Also, based on the integral and double integral of $p-$convex sets, the new functions are defined and under certain conditions, $p-$convexity of these functions are shown.
Zeynep EKEN +3 more
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Subclasses of p-Valent Functions Associated with Linear q-Differential Borel Operator
Mathematics, 2023 The aim of the present paper is to introduce and study some new subclasses of p-valent functions by making use of a linear q-differential Borel operator.We also deduce some properties, such as inclusion relationships of the newly introduced classes and ...
Adriana Cătaş +2 more
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Inequalities involving general fractional integrals of p-convex functions
Turkish Journal of Mathematics, 2023 Summary: The Hermite-Hadamard type inequalities involving fractional integral operations for \(p\)-convex functions with respect to another function are studied. Then, the inequalities via Riemann-Liouville and Hadamard fractional integrals are presented specially.
Işık, İlknur Yeşilce +3 more
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A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
Axioms, 2023 A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq +2 more
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Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we are introducing for the first time a generalized class named the class of $(\alpha,\beta,\gamma,\delta)-$convex functions of mixed kind.
Ali Hassan +3 more
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The Hermite-Hadamard type inequalities for quasi $ p $-convex functions
AIMS Mathematics, 2023 <abstract><p>In this paper, the Hermite-Hadamard inequality and its generalization for quasi $ p $-convex functions are provided. Also several new inequalities are established for the functions whose first derivative in absolute value is quasi $ p $-convex, which states some bounds for sides of the Hermite-Hadamard inequalities.
Sevda Sezer, Zeynep Eken
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A comprehensive review of the Hermite-Hadamard inequality pertaining to fractional differential operators [PDF]
Surveys in Mathematics and its Applications, 2023 A review on Hermite-Hadamard type inequalities connected with a different classes of convexities and fractional differential operators is presented. In the various classes of convexities it includes, classical convex functions, quasi-convex functions, p ...
Muhammad Tariq +3 more
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A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Quantum Calculus
Foundations, 2023 A review of results on Hermite–Hadamard (H-H) type inequalities in quantum calculus, associated with a variety of classes of convexities, is presented. In the various classes of convexities this includes classical convex functions, quasi-convex functions,
Muhammad Tariq +2 more
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SOME HADAMARD‐TYPE INEQUALITIES FOR COORDINATED P‐CONVEX FUNCTIONS AND GODUNOVA‐LEVIN FUNCTIONS [PDF]
AIP Conference Proceedings, 2010 In this paper we established new Hadamard-type inequalities for functions that co-ordinated Godunova-Levin functions and co-ordinated P-convex functions, therefore we proved a new inequality involving product of convex functions and P-functions on the co-ordinates.
Ozdemir, M. Emin, Akdemir, A. Ocak
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Characterizations and decomposition of strongly Wright-convex functions of higher order [PDF]
Opuscula Mathematica, 2015 Motivated by results on strongly convex and strongly Jensen-convex functions by R. Ger and K. Nikodem in [Strongly convex functions of higher order, Nonlinear Anal.
Attila Gilányi +3 more
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