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Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions [PDF]

The Scientific World Journal, 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.
Feixiang Chen, Shanhe Wu
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Ostrowski type inequalities for harmonically s-convex functions [PDF]

, 2013
The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.Comment: 11 ...
Iscan, Imdat
core   +3 more sources

Schur-harmonic convexity related to co-ordinated harmonically convex functions in plane [PDF]

Journal of Inequalities and Applications, 2019
In this paper, we investigate Schur-harmonic convexity of some functions which are obtained from the co-ordinated harmonically convex functions on a square in a plane.
N. Safaei, A. Barani
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$(m,n)$-Harmonically polynomial convex functions and some Hadamard type inequalities on the co-ordinates

AIMS Mathematics, 2021
In this study, we have introduced a new concept called $(m,n)$-harmonically polynomial convex functions on the co-ordinates. Then, we have demonstrated some properties of this definition.
Saad Ihsan Butt , Ahmet Ocak Akdemir, Muhammad Nadeem, Nabil Mlaiki, İmdatİşcan, Thabet Abdeljawad   +5 more
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Extensions of Hermite–Hadamard inequalities for harmonically convex functions via generalized fractional integrals

Journal of Inequalities and Applications, 2021
In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals.
Xue-Xiao You, Muhammad Aamir Ali, Hüseyin Budak, Praveen Agarwal, Yu-Ming Chu   +4 more
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Certain convex harmonic functions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2002
We define and investigate a family of complex‐valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this family.
Yong Chan Kim, Jay M. Jahangiri, Jae Ho Choi   +2 more
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First order derivatives new h.hadamard type ınequalities for harmonically h convex functions

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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Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions

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, Muhammad Yussouf, Yu-Ming Chu, Ghulam Farid, Shin Min Kang   +4 more
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Certain midpoint-type Fejér and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel

AIMS Mathematics, 2023
In this paper, using positive symmetric functions, we offer two new important identities of fractional integral form for convex and harmonically convex functions.
Thongchai Botmart, Soubhagya Kumar Sahoo, Bibhakar Kodamasingh , Muhammad Amer Latif, Fahd Jarad, Artion Kashuri   +5 more
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Convexity In Multivalued Harmonic Functions

Real Analysis Exchange, 2022
We investigate variants of a Three Circles type Theorem in the context of \mathcal{Q}-valued functions. We prove some convexity inequalities related to the L^{2} growth function in the \mathcal{Q}-valued settings. Optimality of these inequalities and comparsion to the case of real valued harmonic functions is also discussed.
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