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Related papers: On Some New Integral Inequalities for K_{s}^2

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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, a new identity for differentiable functions is derived. Thus we can obtain new estimates on generalization of Hadamard,Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power…

Classical Analysis and ODEs · Mathematics 2012-08-01 Imdat Iscan

In the paper, the authors establish some new Hermite-Hadamard type inequalities for functions whose first derivatives are of convexity and apply these inequalities to construct inequalities of special means.

Classical Analysis and ODEs · Mathematics 2015-12-16 Feng Qi , Tian-Yu Zhang , Bo-Yan Xi

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 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 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 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 introduce and investigate the concept of harmonical $h$-convexity for interval-valued functions. Under this new concept, we prove some new Hermite-Hadamard type inequalities for the interval Riemann integral.

General Mathematics · Mathematics 2020-02-10 Dafang Zhao , Tianqing An , Guoju Ye , Delfim F. M. Torres

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 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

In this paper, some new inequalities of the Hermite-Hadamard type for h-convex functions via Riemann-Liouville fractional integral are given.

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

In this paper we prove a Hadamard type fuzzy inequality for (s,m)-convex function in second sense and some exam- ples are given.

Classical Analysis and ODEs · Mathematics 2018-03-13 Deepak B. Pachpatte , Kavita U. Shinde

In this paper, we define a new identity for twice differentiable mappings and obtained some new estimates on the generalization of Hadamard's and Simson's type inequalities for quasi-geometrically convex mappings using of this identity.

Classical Analysis and ODEs · Mathematics 2016-03-09 Zaffer Elahi , Muhammad Muddassar

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, the authors establish a new type integral inequalities for differentiable s-convex functions in the second sense. By the well-known H\"older inequality and power mean inequality, they obtain some integral inequalities related…

Classical Analysis and ODEs · Mathematics 2014-07-07 Mevlut Tunc , Sevil Balgecti

In this paper, we establish Hermite-Hadamard inequality for interval-valued convex function on the co-ordinates on the rectangle from the plane. We also present Hermite-Hadamard inequality for the product of interval-valued convex functions…

Functional Analysis · Mathematics 2019-12-30 Dafang Zhao , Muhammad Aamir Ali , Ghulam Murtaza

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 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 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 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