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In this paper we obtained some new Hadamard-Type inequalities for functions whose derivatives absolute values m-convex. Some applications to special means of real numbers are given.

Classical Analysis and ODEs · Mathematics 2010-11-09 Cetin Yildiz , Mustafa Gurbuz , Ahmet Ocak Akdemir

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

We have made some new definitions using the inequalities of Young' and Nesbitt'. And we have given some features of these new definitions. After, we established new Hadamard type inequalities for convex functions in the Young and Nesbitt…

Classical Analysis and ODEs · Mathematics 2012-05-24 Mevlut Tunc

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

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 introduce operator s-convex func- tions and establish some Hermite-Hadamard type inequalities in which some operator s-convex functions of positive operators in Hilbert spaces are involved.

Functional Analysis · Mathematics 2014-07-10 Amir Ghasem Ghazanfari

In this paper we establish some estimates of the right hand side of a Hermite-Hadamard type inequality in which some quasi-convex functions are involved.

Classical Analysis and ODEs · Mathematics 2011-03-11 Cetin Yildiz , Ahmet Ocak Akdemir , Merve Avci

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, 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

In this paper, it is a fuction that is a GA-convex differentiable for a new identity. As a result of this identity, some new and general integral inequalities for differentiable GA-convex functions are obtained.

Classical Analysis and ODEs · Mathematics 2016-08-06 İmdat İşcan , Sercan Turhan

In this paper, we establish some new inequalities for class of SX(h,I) convex functions which are supermultiplicative or superadditive and nonnegative. And we also give some applications for special means.

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

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

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

Inequalities play an important role in pure and applied mathematics. In particular, Jensen's inequality, one of the most famous inequalities, plays a main role in the study of the existence and uniqueness of initial and boundary value…

Classical Analysis and ODEs · Mathematics 2022-02-09 Yamilet Quintana , José M. Rodríguez , José M. Sigarreta Almira

In \cite{II}, authors introduced the concept of harmonically $(s,m)$-convex functions in second sense which unifies different type of convexities and is more general notion of Harmonic convexity. In this paper, authors obtain new estimates…

Classical Analysis and ODEs · Mathematics 2016-02-17 Imran Abbas Baloch , İmdat İscan

In this work, new inequalities connected with the Steffensen's integral inequality for s-convex functions are proved

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

In this paper we established new integral inequalities which are more general results for coordinated convex functions on the coordinates by using some classical inequalities.

Classical Analysis and ODEs · Mathematics 2011-07-21 M. Emin Ozdemir , Cetin Yildiz , Ahmet Ocak Akdemir

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 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

The main target of this paper is to discuss operator Hermite--Hadamard inequality for convex functions, without appealing to operator convexity. Several forms of this inequality will be presented and some applications including norm and…

Functional Analysis · Mathematics 2019-08-07 Hamid Reza Moradi , Mohammad Sababheh , Shigeru Furuichi
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