New Fractional Hermite–Hadamard–Mercer Inequalities for Harmonically Convex Function
Journal of Function Spaces, 2021 In 2003, Mercer presented an interesting variation of Jensen’s inequality called Jensen–Mercer inequality for convex function. In the present paper, by employing harmonically convex function, we introduce analogous versions of Hermite–Hadamard ...
Saad Ihsan Butt +4 more
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The Properties of Harmonically cr-h-Convex Function and Its Applications
Mathematics, 2022 In this paper, the definition of the harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard type inequalities and Fejér type inequalities for harmonically cr-h-convex functions are
Wei Liu +3 more
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Journal of Mathematics, 2020 In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung +4 more
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Journal of Function Spaces, 2021 In this work, we introduce the idea of n–polynomial harmonically s–type convex function. We elaborate the new introduced idea by examples and some interesting algebraic properties.
Saad Ihsan Butt +3 more
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Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions [PDF]
Journal of Mahani Mathematical ResearchIn this paper, the authors study and introduce some new integral forms of Hermite-Hadamard inequalities in the form of harmonically convex functions known as exponential type harmonically $ (\alpha, s)_{h}$-convex function.
Kemi Apanpa +2 more
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Generalization of Some Integral Inequalities for Arithmetic Harmonically Convex Functions
Cumhuriyet Science Journal, 2022 In this study, by using an integral identity, Hölder integral inequality and modulus properties we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose derivatives in absolute value at certain power are ...
Huriye Kadakal
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First order derivatives new h.hadamard type ınequalities for harmonically h convex functions [PDF]
Cumhuriyet Science Journal, 2020 In this study, we derived a new integral identity for differentiable functions. However, we get new inequalities which is well known as Hermite-Hadamard (H-H) type by using the integral identity, which unifies the class of new and known harmonically ...
Merve Kule, Mehmet Eyüp Kiriş
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Hermite-Hadamard Type Inequalities For Two Times Differentiable Arithmetic-Harmonically Convex Functions [PDF]
Cumhuriyet Science Journal, 2019 In this work, by using both anintegral identity and the Hölder, the power-mean integral inequalities it isestablished several new inequalities for two times differentiablearithmetic-harmonically-convex function. Also, a few applications are given forsome
Huriye Kadakal
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Some Hermite-Hadamard type inequalities for harmonically s-convex functions. [PDF]
ScientificWorldJournal, 2014 We establish some estimates of the right-hand side of Hermite-Hadamard type inequalities for functions whose derivatives absolute values are harmonically s-convex.
Chen F, Wu S.
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Hermite-Hadamard inequality for product of (h1, h2, s)-convex and m-harmonically convex function [PDF]
, 2023 In this paper, a new definition of (m, h1 , h2 , s) -Harmonically convex function is introduced by combining m-convex, 1 2 (h , h ) -convex, s-convex, and harmonically convex function.
Sabir Yasin +5 more
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