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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, firstly we have established Hermite--Hadamard-Fej\'er inequality for fractional integrals. Secondly, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for the fractional integrals have been…

Classical Analysis and ODEs · Mathematics 2014-05-01 İmdat İşcan

In this paper, one new classes of convex functions which is called MT-convex functions are given. We also establish some Hadamard-type inequalities.

Classical Analysis and ODEs · Mathematics 2012-05-25 Mevlut Tunc , Huseyin Yildirim

In this paper, we establish Hermite-Hadamard inequality for interval-valued convex function on the co-ordinates on the rectangle from the plane. We also present Hermite-Hadamard inequality for the product of interval-valued convex functions…

Functional Analysis · Mathematics 2019-12-30 Dafang Zhao , Muhammad Aamir Ali , Ghulam Murtaza

In this paper some new inequalities are proved related to left hand side of Hermite-Hadamard inequality for the classes of functions whose derivatives of absolute values are m-convex. New bounds and estimations are obtained. Applications…

Classical Analysis and ODEs · Mathematics 2011-12-19 M. Emin Ozdemir , Ahmet Ocak Akdemir , Merve Avci

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 introduce the notion of (g,\Phi_{h})-convex dominated function and present some properties of them. Finally, we present a version of Hermite-Hadamard-type inequalities for (g,\Phi_{h})-convex dominated functions. Our…

Classical Analysis and ODEs · Mathematics 2012-08-07 M. Emin Ozdemir , Mustafa Gurbuz , Havva Kavurmaci

In this paper, firstly we have established Hermite-Hadamard's inequalities for s-convex functions in the second sense and m-convex functions via fractional integrals. Secondly, a Hadamard type integral inequality for the fractional…

Classical Analysis and ODEs · Mathematics 2011-12-30 Erhan Set , M. Zeki Sarikaya , M. Emin Özdemir , Hüseyin Yıldırım

In this paper, we establish some new inequalities of the Hermite-Hadamard like for class of (h-s)_{1,2}-convex functions which are ordinary, super-multiplicative or similarly ordered and nonnegative.

Classical Analysis and ODEs · Mathematics 2012-03-19 M. Emin Ozdemir , Ahmet Ocak Akdemir , Mevlut Tunc

We present several matrix and operator inequalities of Hermite-Hadamard type. We first establish a majorization version for monotone convex functions on matrices. We then utilize the Mond-Pecaric method to get an operator version for convex…

Functional Analysis · Mathematics 2013-04-02 Mohammad Sal Moslehian

In the literature, the left-side of Hermite--Hadamard's inequality is called a midpoint type inequality. In this article, we obtain new integral inequalities of midpoint type for Riemann--Liouville fractional integrals of convex functions…

General Mathematics · Mathematics 2020-05-05 Pshtiwan Othman Mohammed

This research aimed to explore some new Hermite-Hadamard inequalities for strongly harmonic convex set-valued functions with modulus c > 0 introduced by G. Santana

Functional Analysis · Mathematics 2022-01-19 Gabriel Santana , Maira Valera

In this paper we introduce operator preinvex functions and es- tablish a Hermite-Hadamard type inequality for such functions. We give an estimate of the right hand side of a Hermite-Hadamard type inequality in which some operator preinvex…

Functional Analysis · Mathematics 2014-12-19 A. G. Ghazanfari , A. Barani

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 paper, a general form of integral inequalities of Hermite-Hadamard's type through differentiability for s-Convex function in second sense and whose all derivatives are absolutely continuous are established. The generalized integral…

Functional Analysis · Mathematics 2013-06-25 Muhammad Muddassar , Muhammad Iqbal Bhatti

In this paper, we have established some generalized integral inequalities of Hermite-Hadamard-Fej\'er type for generalized fractional integrals. The results presented here would provide generalizations of those given in earlier works.

Classical Analysis and ODEs · Mathematics 2017-06-20 Abdullah Akkurt , Hüseyin Yildirim

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

Classical Analysis and ODEs · Mathematics 2016-03-08 Abdullah Akkurt , M. Esra Yildirim , Hüseyin Yildirim

We present Hermite--Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on simplices

Classical Analysis and ODEs · Mathematics 2014-01-06 D. Śliwińska , Sz. Wasowicz

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 several inequalities of the right-hand side of Hermite-Hadamard inequality are obtained for the class of functions whose derivatives in absolutely value at certain powers are ({\alpha},m)-convex.Some applications to special…

Classical Analysis and ODEs · Mathematics 2013-04-19 Imdat Işcan