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By making use of the identity obtained by Sarikaya, some new Hermite-Hadamard type inequalities for h-convex functions on the co-ordinates via fractional integrals are established. Our results have some relationships with the results of…

Classical Analysis and ODEs · Mathematics 2014-02-14 Erhan Set , M. Zeki Sarikaya , Hatice Ogulmus

In this paper several inequalities of the right-hand side of Hermite-Hadamard's inequality are obtained for the class of functions whose derivatives in absolutely value at certain powers are strongly {\varphi}-convex with modulus c>0.

Classical Analysis and ODEs · Mathematics 2012-05-29 Imdat Iscan , Erdal Unluyol

In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose derivatives are $s$-$(\alpha,m)$-convex.The generalised integral…

Functional Analysis · Mathematics 2013-04-10 Muhammad Muddassar , Muhammad Iqbal Bhatti , Wajeeha Irshad

An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for…

Numerical Analysis · Mathematics 2025-10-20 Sever Silvestru Dragomir

In this paper, we obtained some new estimates on generalization of Hadamard, Ostrowski and Simpson-like type inequalities for harmonically quasi-convex functions via Riemann Liouville fractional integral.

Classical Analysis and ODEs · Mathematics 2014-01-14 İmdat İscan

In this paper, a general integral identity for convex functions is derived. Then, we establish new some inequalities of the Simpson and the Hermite-Hadamard's type for functions whose absolute values of derivatives are convex. Some…

Classical Analysis and ODEs · Mathematics 2010-05-18 M. Z. Sarikaya , N. Aktan

In this paper, we establish a new refinement of the left-hand side of Hermite-Hadamard inequality for convex functions of several variables defined on simplices.

Classical Analysis and ODEs · Mathematics 2018-01-08 Monika Nowicka , Alfred Witkowski

In this paper, we establish some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex. These results are connected with the celebrated Hermite-Hadamard-Fejer type integral inequality.…

Classical Analysis and ODEs · Mathematics 2014-09-19 Erhan Set , Imdat Iscan , M. Zeki Sarikaya , M. Emin Ozdemir

In this paper, we present a time scale version of the Hermite-Hadamard inequality for functions convex on the coordinates via the diamond-$\alpha$ calculus. Our results are new and they generalize and extend a result due to Dragomir.

Dynamical Systems · Mathematics 2017-06-27 Eze R. Nwaeze

In this article, we focus on establishing a new variant of Hermite-Hadamard type inequalities for operator convex maps using an appropriate probability measure. To underline the usefulness of these inequalities, we investigate some…

Functional Analysis · Mathematics 2024-05-21 Mustapha Raissouli , Lahcen Tarik , Mohamed Chergui

This research aimed to introduce the concept of harmonically m-concave set-valued functions, which is obtained from the combination of two definitions: harmonically m-concave functions and set-valued functions. In this work some properties…

Functional Analysis · Mathematics 2024-03-13 Gabriel Santana , Maira Valera-López , Nelson Merentes

We establish some new inequalities of Hermite-Hadamard type for functions whose fourth derivatives absolute values are quasi-convex. Further, we give new identity.Using this new identity, we establish similar inequalities for left-hand side…

Classical Analysis and ODEs · Mathematics 2016-02-17 Imran Abbas Baloch , Basharat Rehman Ali

In this paper we achieve some new Hadamard type inequalities using elementary well known inequalities for functions whose first derivatives absolute values are s-geometrically and geometrically convex. And also we get some applications for…

Classical Analysis and ODEs · Mathematics 2013-02-06 Mevlut Tunc , Ibrahim Karabayir

In this study, the author establish some inequalities of Hadamard like based on convex and s-convexity in the second sense. Some applications to special means of positive real numbers are also given.

Classical Analysis and ODEs · Mathematics 2014-02-03 Mevlut Tunc

Recently, the so-called Hermite-Hadamard inequality for (operator) convex functions with one variable has known extensive several developments by virtue of its nice properties and various applications. The fundamental target of this paper…

Classical Analysis and ODEs · Mathematics 2024-05-22 Mustapha Raissouli , Lahcen Tarik , Mohamed Chergui

Given any ${\bf{a}}: = \left( {a_1 ,a_2 , \ldots ,a_n } \right)$ and ${\bf{b}}: = \left( {b_1 ,b_2 , \ldots ,b_n } \right)$ in $\mathbb{R}^n$. The $\textbf{n}$-fold convex function defined on $\left[ {{\bf{a}},{\bf{b}}} \right]$,…

Classical Analysis and ODEs · Mathematics 2016-04-08 Mohammad W. Alomari

In this paper, we extend some estimates of the right hand side of a Hermite- Hadamard type inequality for nonconvex functions whose second derivatives absolute values are \phi-convex, log-\phi-convex, and quasi-\phi-convex.

Functional Analysis · Mathematics 2013-12-04 Mehmet Zeki Sarikaya , Hakan Bozkurt , Mehmet Eyüp Kiris

In this paper, we establish various inequalities for some mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose absolute values belong to the class K?;s m;1 and K?;s m;2.

Classical Analysis and ODEs · Mathematics 2013-08-20 Muhammad Muddassar , Ahsan Ali

Some trapezoid and mid-point type inequalities related to the Hermite-Hadamard inequality for the mappings defined on a ball in the space are obtained.

General Mathematics · Mathematics 2019-05-28 M. Rostamian Delavar

In this paper, we established some new Hadamard-type integral inequalities for functions whose derivatives of absolute values are m-convex and ({\alpha},m)-convex functions via Riemann-Liouville fractional integrals.

Functional Analysis · Mathematics 2012-01-30 M. Emin Özdemir , Merve Avcı , A. Ocak Akdemir , Alper Ekinci
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