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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Some Integral Inequalities for Harmonically (α,s)-Convex Functions
Journal of Function Spaces, 2019 In the paper, the author introduces a new class of harmonically convex functions, which is called harmonically α,s-convex functions and establishes some new integral inequalities of the Hermite-Hadamard type for harmonically α,s-convex functions.
Serap Özcan
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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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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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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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Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions [PDF]
Journal of Applied Mathematics, 2014 We establish a Fejér type inequality for harmonically convex functions. Our results are the generalizations of some known results. Moreover, some properties of the mappings in connection with Hermite-Hadamard and Fejér type inequalities for harmonically ...
Feixiang Chen, Shanhe Wu
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Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application
Journal of Function Spaces, 2019 Some authors introduced the concepts of the harmonically arithmetic convex functions and establish some integral inequalities of Hermite Hadamard Fejér type related to the harmonically arithmetic convex functions.
Sercan Turhan
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Some Properties of Uniformly Harmonically Convex and Uniformly Harmonically Quasi-Convex Functions [PDF]
Mathematics Interdisciplinary ResearchIn this note, we investigate the concepts of uniformly harmonically convexity and uniformly harmonically quasi-convexity, and establish some remarkable properties and basic examples related to these concepts.In addition, we will present methods ...
Mehdi Dehghanian +2 more
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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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On Fractional Hermite–Hadamard-Type Inequalities for Harmonically s-Convex Stochastic Processes
Fractal and FractionalIn this paper, we investigate Hermite–Hadamard-type inequalities for harmonically s-convex stochastic processes via Riemann–Liouville fractional integrals. We begin by introducing the notion of harmonically s-convex stochastic processes. Subsequently, we
Rabab Alzahrani +3 more
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