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Some Special Inequalitiy and Applications for Earthquake p−convex Function
PROOFIn this paper, we give a new earthquake p−convex function definition. Moreover, we demonstrate Hermite-Hadamard inequality and practices for earthquake p−convex function. Furthermore, we obtained some algebraic properties and refinements of Hermite-Hadamard for earthquake p−convex function.
Sümeyye Ermeydan Çi̇ri̇ş +1 more
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p-convex functions in linear spaces [PDF]
Annales Polonici Mathematici, 1991 Let \(X\) and \(Y\) be partially ordered linear spaces endowed with semilinear topologies, and let \(D\) be an open and convex subset of \(X\). An operator \(f: D\to Y\) is called \(p\)-convex if \(\Delta_ h^{p+1}f(x)\geq 0\) for all \(h\in X\) and \(x\in D\) such that \(h\geq 0\) and \(x+(p+1)h\in D\), where \(\Delta^ i_ h\) denotes the \(k\)th ...
Zygfryd Kominek, Marek Kuczma
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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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Hermite-Hadamard inequalities for generalized convex functions in interval-valued calculus
AIMS Mathematics, 2022 The importance of convex and non-convex functions in the study of optimization is widely established. The concept of convexity also plays a key part in the subject of inequalities due to the behavior of its definition.
Jorge E. Macías-Díaz +4 more
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Hermite-Hadamard type inequalities for multiplicatively p-convex functions
Journal of Inequalities and Applications, 2023 In this paper, we introduced the concept of multiplicatively p-convex functions and established Hermite-Hadamard type integral inequalities in the setting of multiplicative calculus for this newly created class of functions.
Serap Özcan
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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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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 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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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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