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Related papers: On Hermite-Hadamard Type Integral Inequalities for…

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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, 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 obtain some Hermite-Hadamard type inequalities for functions whose third derivatives in absolute value are preinvex and prequasiinvex.

Functional Analysis · Mathematics 2013-01-16 M. Emin Ozdemir , Merve Avci Ardic

In this paper, some new inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are given. Finally, some error estimates for the trapezoidal formula are…

Classical Analysis and ODEs · Mathematics 2010-06-09 Havva Kavurmaci , Merve Avci , M. Emin Ozdemir

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 a recent paper [9], Ozdemir, Tunc and Akdemir defined two new classes of convex functions with which they proved some Hermite-Hadamard type inequalities. As an Open problem, they asked for conditions under which the composition of two…

Functional Analysis · Mathematics 2016-04-13 Peter Olamide Olanipekun , Adesanmi Alao Mogbademu

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

In this paper, using functions whose derivatives absolute values are strongly $\Phi_{h}$-convex with modulus c>0, we obtained new inequalities releted to the right and left side of Hermite-Hadamard inequality by using new integral…

Classical Analysis and ODEs · Mathematics 2012-06-15 Mehmet Zeki Sarikaya , Kubilay Ozcelik

New proofs of the classical Hermite-Hadamard inequality are presented and several applications are given, including Hadamard-type inequalities for the functions, whose derivatives have inflection points or whose derivatives are convex.…

General Mathematics · Mathematics 2020-10-14 Ilham A. Aliev , Mehmet E. Tamar , Cagla Sekin

In this paper, we prove some Hermite-Hadamard type inequalities for operator geometrically convex functions for non-commutative operators. Keywords: Operator geometrically convex function, Hermite-Hadamard inequality.

Functional Analysis · Mathematics 2018-07-24 Ali Taghavi , Vahid Darvish , Tahere Azimi Roushan

In this paper, we established Hermite-Hadamard-Fejer type inequalities for s-convex functions in the second sense via fractional integrals. The some results presented here would provide extansions of those given in earlier works.

Classical Analysis and ODEs · Mathematics 2014-12-03 Erhan Set , Imdat Iscan , Hasan Huseyin Kara

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 establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite- Hadamard integral inequality for mappings whose derivatives are (h -($\alpha$?;m))-convex.The generalized…

Functional Analysis · Mathematics 2013-04-11 Muhammad Muddassar , Muhammad Iqbal Bhatti

In this paper, we extend some estimates of the right hand side of a Hermite-Hadamard type inequality for prequasiinvex functions via fractional integrals.

Classical Analysis and ODEs · Mathematics 2012-04-05 Imdat Iscan

In this paper, we introduce the notion of log-{\varphi}-convex functions and present some properties and representation of such functions. We obtain some results of the Hermite Hadamard inequalities for product log-{\varphi}-convex…

Functional Analysis · Mathematics 2012-03-27 Mehmet Zeki Sarikaya

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

Authors introduce the concept of harmonically $(s,m)$-convex functions in second sense in \cite{II}.In this article, we establish some Hermite-Hadamard type inequalities of this class of functions.

Classical Analysis and ODEs · Mathematics 2016-04-29 Imran Abbas Baloch , İmdat İşcan

We have recently established some integral inequalities for convex functions via the Hermite-Hadamard's inequalities. In continuation here, we also establish some interesting new integral inequalities for convex functions via the…

Classical Analysis and ODEs · Mathematics 2017-04-04 Khaled Mehrez , Praveen Agarwal

In this paper, we establish some new Hadamard type inequalities using elementary well known inequalities for functions whose inequalities absolute values are {\alpha}-, m-, ({\alpha},m)-logarithmically convex.

Classical Analysis and ODEs · Mathematics 2013-01-30 Mevlut Tunc , Ebru Yuksel

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