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Related papers: On Some Hadamard-Type Inequalities for Differentia…

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In this paper, two new classes of convex functions as a generalization of convexity which is called (h-s)_{1,2}-convex functions are given. We also prove some Hadamard-type inequalities and applications to the special means are given.

Classical Analysis and ODEs · Mathematics 2013-04-17 M. Emin Ozdemir , Mevlut Tunc , Ahmet Ocak Akdemir

In this paper, approximate lower and upper Hermite--Hadamard type inequalities are obtained for functions that are approximately convex with respect to a given Chebyshev system.

Classical Analysis and ODEs · Mathematics 2012-12-06 Judit Makó , Zsolt Páles

In this paper, we prove some new inequalities of Hadamard-type for s-convex functions on the co-ordinates.

Classical Analysis and ODEs · Mathematics 2012-03-22 M. Emin Ozdemir , Mevlut Tunc , Ahmet Ocak Akdemir

In this paper, first we have established Hermite- Hadamard's inequalities for preinvex functions via fractional integrals. Second we extend some estimates of the right side of a Hermite- Hadamard type inequality for preinvex functions via…

Classical Analysis and ODEs · Mathematics 2014-03-04 Imdat Iscan

In this paper we establish a Hermite- Hadamard type inequality for operator preinvex functions and an estimate of the right hand side of a Hermite- Hadamard type inequality in which some operator preinvex functions of selfadjoint operators…

Functional Analysis · Mathematics 2013-06-05 A. G. Ghazanfari , M. Shakoori , A. Barani , S. S. Dragomir

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

Inequalities play important roles not only in mathematics, but also in other fields, such as economics and engineering. Even though many results are published on Hermite-Hadamard (H-H) type inequalities, new researcher to this fields often…

Classical Analysis and ODEs · Mathematics 2021-11-23 Ohud Almutairi , Adem Kılıçman

In this paper, we establish three inequalities for differentiable s-geometrically and geometrically convex functions which are connected with the famous Hermite-Hadamard inequality holding for convex functions. Some applications to special…

Classical Analysis and ODEs · Mathematics 2013-04-17 Mevlut Tunc

In this paper, The author introduces the concepts of the GA-s-convex functions in the first sense and second sense and establishes some integral inequalities of Hermite-Hadamard type related to the GA-s-convex functions.

Classical Analysis and ODEs · Mathematics 2013-07-12 Imdat Iscan

In this paper we establish some new Hermite-Hadamard type inequalities for two operator convex functions of selfadjoint operators in Hilbert spaces.

Functional Analysis · Mathematics 2012-07-05 Amir G. Ghazanfari

In this article we proved an interesting property of the class of continuous convex functions. This leads to the form of pre-Hermite-Hadamard inequality which in turn admits a generalization of the famous Hermite-Hadamard inequality. Some…

Classical Analysis and ODEs · Mathematics 2016-05-16 Slavko Simic

In this paper, we establish two new convex dominated function and then we obtain new Hadamard type inequalities related to this denitions.

Classical Analysis and ODEs · Mathematics 2012-02-10 M. Emin Ozdemir , Mevlut Tunc , Havva Kavurmaci

In this paper, new integral inequalities of Hadamard type involving several differentiable \Phi-r-convex functions are given.

Classical Analysis and ODEs · Mathematics 2012-03-13 Mehmet Zeki Sarikaya , Hatice Yaldiz , Hakan Bozkurt

In this paper, we consider a new class of convex functions which is called $h_{\varphi}-$preinvex functions. We prove several Hermite--Hadamard type inequalities for differentiable $h_\varphi$-preinvex functions via Fractional Integrals.…

Classical Analysis and ODEs · Mathematics 2015-12-14 Abdullah Akkurt , Hüseyin Yildirim

In this study, Firstly, we will write two new convex functions for $-1<n-\alpha \leq 1\ $and two new lemmas. Then we will find the relevance of the two new lemmas to Caputo-left-sided derivatives under additional conditions and draw…

Functional Analysis · Mathematics 2024-07-24 M. Emin Özdemir

In this paper, a new identity for differentiable functions is derived. Thus we can obtain new estimates on generalization of Hadamard,Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power…

Classical Analysis and ODEs · Mathematics 2012-08-01 Imdat Iscan

In this paper, obtained some new class of Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities via fractional integrals for the p-hyperbolic convex functions. It is shown that such inequalities are simple consequences of…

Functional Analysis · Mathematics 2019-10-22 Silvestru Sever Dragomir , Berikbol T. Torebek

In this paper, we are interested in investigating a weighted variant of Hermite-Hadamard type inequalities involving convex functionals. The approach undertaken makes it possible to refine and reverse certain inequalities already known in…

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

In this paper we establish Hermite-Hadamard type inequalities for mappings whose derivatives are s-convex in the second sense and concave.

Classical Analysis and ODEs · Mathematics 2013-04-01 Erhan Set , M. Emin Ozdemir , M. Zeki Sarikaya , Filiz Karakoc

In this paper, we extend the Hermite-Hadamard type $\dot{I}$scan inequality to the class of symmetrized harmonic convex functions. The corresponding version for harmonic h-convex functions is also investigated. Furthermore, we establish…

Classical Analysis and ODEs · Mathematics 2017-11-23 Shanhe Wu , Basharat Rehman Ali , Imran Abbas Baloch , Absar Ul Haq