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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

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 article, we further explore convex functions by revealing new bounds, resulting from stronger convexity behavior. In particular, we define the so called radical convex functions and study their properties. We will see that such…

Functional Analysis · Mathematics 2020-10-13 Mohammad Sababheh , Hamid Reza Moradi

In this paper, some new inequalities of the Hermite-Hadamard type for h- convex functions whose modulus of the derivatives are h-convex and applications for special means are given.

Classical Analysis and ODEs · Mathematics 2012-02-13 Mevlut Tunc , Huseyin Yildirim

In this paper, we establish some Hadamard-type inequalities based on coordinated quasi-convexity. Also we define a new mapping associated to coordinated convexity and we prove some properties of this mapping.

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

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 some Hadamard-type inequalities for convex functions of 3-variables on a rectanguler box are given. We also define a mapping related to convex functions on a rectanguler box.

Classical Analysis and ODEs · Mathematics 2011-04-01 M. E. Ozdemir , Ahmet Ocak Akdemir

In this paper we establish some new inequalities of Hadamard-type for product of convex and s-convex functions in the second sense.

Classical Analysis and ODEs · Mathematics 2012-02-13 Mevlut Tunc

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

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

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 this paper, we obtain new estimates on generalization of Hermite-Hadamard, Simpson and Ostrowski type inequalities for functions whose second derivatives is $\varphi$-convex via fractional integrals.

Classical Analysis and ODEs · Mathematics 2016-07-19 M. Esra Yildirim , Abdullah Akkurt , Hüseyin Yildirim

In this paper, a general integral identity for convex functions is derived. Then, we establish new some inequalities of the Simpson and the Hermite-Hadamard's type for functions whose absolute values of derivatives are convex. Some…

Classical Analysis and ODEs · Mathematics 2010-05-18 M. Z. Sarikaya , N. Aktan

Given any ${\bf{a}}: = \left( {a_1 ,a_2 , \ldots ,a_n } \right)$ and ${\bf{b}}: = \left( {b_1 ,b_2 , \ldots ,b_n } \right)$ in $\mathbb{R}^n$. The $\textbf{n}$-fold convex function defined on $\left[ {{\bf{a}},{\bf{b}}} \right]$,…

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

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

In this paper, we extend some estimates of the right and left hand side of a Hermite-Hadamard type inequality for nonconvex functions whose derivatives absolute values are \Phi-convex and quasi-\Phi-convex was introduced by Noor in Noor1.

Classical Analysis and ODEs · Mathematics 2013-04-03 Mehmet Zeki Sarikaya , Hakan Bozkurt , Necmettin Alp

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 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 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 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