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Related papers: Hadamard type fuzzy inequality for (s,m)-convex fu…

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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 the present paper we establish some new integral inequalities analogous to the well known Hadamard inequality by using a fairly elementary analysis.

Classical Analysis and ODEs · Mathematics 2012-01-16 Mevlut Tunc , S. Ugur Kirmaci

In this paper, some Hermite-Hadamard type inequalities are established for harmonically $(\alpha,m)$-convex functions via fractional integrals and some Hermite-Hadamard type inequalities are obtained for these classes of functions.

Classical Analysis and ODEs · Mathematics 2015-05-12 Mehmet Kunt , İmdat İşcan

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, we establish several new convex dominated functions and then we obtain new Hadamard type inequalities.

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

The purpose of this paper is to study the Hermite-Hadamard type inequality for r-preinvex and ({\alpha}, m)-preinvex function which is based on Sugeno integral.

Analysis of PDEs · Mathematics 2018-07-18 Kavita U. Shinde , Deepak B. Pachpatte

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 new some Hermite-Hadamard's type inequalities of convex functions of 2-variables on the co-ordinates.

Classical Analysis and ODEs · Mathematics 2013-04-03 M. Z. Sarikaya , E. Set , M. E. Ozdemir , S. S. Dragomir

In this study, we establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications to special means of positive real numbers are also given and generalized. Examples are…

Classical Analysis and ODEs · Mathematics 2013-04-23 Mevlut Tunc

This monograph is associated with the renowned Hermite-Hadamard's integral inequality of $2$-variables on the co-ordinates. In this article we established several inequalities of the type of Hadamard's for the mappings whose absolute values…

Functional Analysis · Mathematics 2015-08-21 M. I. Bhatti , M. Muddassar , F. Yasin

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 the paper, the authors introduce a new concept "extended $s$-convex functions", establish some new integral inequalities of Hermite-Hadamard type for this kind of functions, and apply these inequalities to derive some inequalities of…

Classical Analysis and ODEs · Mathematics 2015-06-02 Bo-Yan Xi , Feng Qi

The main aim of the present note is to prove new Hadamard like integral inequalities for the product of the convex functions.

Classical Analysis and ODEs · Mathematics 2011-08-23 Sahin Emrah Amrahov

The author introduces the concept of harmonically ({\alpha},m)-convex functions and establishes some Hermite-Hadamard type inequalities of these classes of functions.

Classical Analysis and ODEs · Mathematics 2015-04-20 Imdat Iscan

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 the paper, we establish the Hermite-Hadamard type inequalities for the generalized s-convex functions in the second sense on real linear fractal set $\mathbb{R}^{\alpha}(0<\alpha<1).$

Classical Analysis and ODEs · Mathematics 2015-06-25 Huixia Mo , Xin Sui

In the paper, the authors introduce a notion "$(\alpha,m)$-GA-convex functions" and establish some integral inequalities of Hermite-Hadamard type for $(\alpha,m)$-GA-convex functions.

Classical Analysis and ODEs · Mathematics 2014-12-02 Ai-Ping Ji , Tian-Yu Zhang , Feng Qi

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 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, the author established Hermite-Hadamard's inequalities for harmonically convex functions via fractional integrals and obtained some Hermite-Hadamard type inequalities of these classes of functions.

Classical Analysis and ODEs · Mathematics 2013-12-30 Imdat Iscan