Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions [PDF]
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 [PDF]
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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Generalization of Some Integral Inequalities for Arithmetic Harmonically Convex Functions [PDF]
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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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 [PDF]
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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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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Novel Refinements via n–Polynomial Harmonically s–Type Convex Functions and Application in Special Functions [PDF]
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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Fejer Type Inequalities for Harmonically (s,m)-Convex Functions [PDF]
International Journal of Analysis and Applications, 2016 In this paper, a new weighted identity involving harmonically symmetric functions and differentiable functions is established. By using the notion of harmonic symmetricity, harmonic (s,m)-convexity, analysis and some auxiliary results, some new Fejér ...
Imran Abbas Baloch +2 more
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Hermite–Hadamard–Fejér type inequalities for p-convex functions [PDF]
Arab Journal of Mathematical Sciences, 2017 In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions are obtained.
Mehmet Kunt, İmdat İşcan
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On Harmonically (p,h,m)-Preinvex Functions [PDF]
Journal of Function Spaces, 2017 We define a new generalized class of harmonically preinvex functions named harmonically (p,h,m)-preinvex functions, which includes harmonic (p,h)-preinvex functions, harmonic p-preinvex functions, harmonic h-preinvex functions, and m-convex functions as ...
Shan-He Wu +2 more
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