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In this paper we defined $r-$convexity on the coordinates and we established some Hadamard-Type Inequalities.

Classical Analysis and ODEs · Mathematics 2025-01-17 Ahmet Ocak Akdemir , M Emin Ozdemir

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, 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 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 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 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 the paper, the authors find some new integral inequalities of Hermite-Hadamard type for functions whose derivatives of the $n$-th order are $(\alpha,m)$-convex and deduce some known results. As applications of the newly-established…

Classical Analysis and ODEs · Mathematics 2014-09-05 Feng Qi , Muhammad Amer Latif , Wen-Hui Li , Sabir Hussain

In this paper, Hermite-Hadamard type inequality for Sugeno integrals based on log-convex functions is studied. Some examples are given to illustrate the results.

Classical Analysis and ODEs · Mathematics 2015-06-25 Sercan Turhan , Nurgül Okur Bekar , Hande Günay Akdemir

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 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, 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

This study focuses on convex functions and their generalized. Thus, we start this study by giving the definition of convex functions and some of their properties and discussing a simple geometric property. Then we generalize E-convex…

Classical Analysis and ODEs · Mathematics 2017-04-27 Adem Kilicman , Wedad Saleh

In this paper, we introduce the notion of strongly {\varphi}-convex functions with respect to c>0 and present some properties and representation of such functions. We obtain a characterization of inner product spaces involving the notion of…

Functional Analysis · Mathematics 2012-06-26 Mehmet Zeki Sarikaya

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

Some refinements of the Hermite-Hadamard inequality are obtained in the case of continuous convex functions defined on simplices.

Classical Analysis and ODEs · Mathematics 2012-01-04 F. -C. Mitroi , C. I. Spiridon

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, 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

The main goal of this paper is to prove a Hermite-Hadamard type inequality for certain Schur convex functions using, as one of the main tools in the proof, a Korovkin-type approximation theorem.

Classical Analysis and ODEs · Mathematics 2020-01-01 Pál Burai , Judit Makó , Patrícia Szokol

A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and…

Numerical Analysis · Mathematics 2025-10-20 Sever Silvestru Dragomir

The aim of this paper is to generalize the Hermite--Hadamard inequality for functions convex on the coordinates. Our composite result generalizes the result of Dragomir in \cite{Drag}. Many other interesting inequalities can be derived from…

Classical Analysis and ODEs · Mathematics 2018-01-01 Eze R. Nwaeze