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Related papers: An Ostrowski Type Inequality for Convex Functions

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A mapping M(t) is considered to obtain some preliminary results and a new trapezoidal form of Fejer inequality related to the h-convex functions. Furthermore the obtained results are applied to achieve some new inequalities in connection…

Functional Analysis · Mathematics 2019-02-19 M. Rostamian Delavar , S. S. Dragomir

In this paper, we not only give the extensions of the results given in [7] by Gill et al. for log-convex functions, but also obtain some new Hadamard type inequalities for log-convex, m-convex and (alpha,m)-convex functions.

Functional Analysis · Mathematics 2011-04-01 Erhan Set , M. Emin Ozdemir , Sever S. Dragomir

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

In this paper we establish some new Hermite-Hadamard type inequalities for two operator convex functions of selfadjoint operators in Hilbert spaces.

Functional Analysis · Mathematics 2012-07-05 Amir G. Ghazanfari

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, a new class of convex functions as a generalization of convexity which is called (h-m)-convex functions and some properties of this class is given. We also prove some Hadamard's type inequalities.

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

In this paper, a new lemma is proved and inequalities of Simpson type are established for co-ordinated convex functions and bounded functions.

Classical Analysis and ODEs · Mathematics 2011-01-05 M. Emin Ozdemir , Ahmet Ocak Akdemir , Havva Kavurmaci , Merve Avci

New proofs of the classical Hermite-Hadamard inequality are presented and several applications are given, including Hadamard-type inequalities for the functions, whose derivatives have inflection points or whose derivatives are convex.…

General Mathematics · Mathematics 2020-10-14 Ilham A. Aliev , Mehmet E. Tamar , Cagla Sekin

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

The main objective of this paper is to present Ostrowski's inequality for a broader class of functions and to propose a refinement to the classical version of it. The original Ostrowski's inequality can be stated as follows "If…

General Mathematics · Mathematics 2025-08-05 Angshuman R. Goswami

In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose derivatives are $s$-$(\alpha,m)$-convex.The generalised integral…

Functional Analysis · Mathematics 2013-04-10 Muhammad Muddassar , Muhammad Iqbal Bhatti , Wajeeha Irshad

Inspired by the recent work by R.Pal et al., we give further refined inequalities for a convex Riemann integrable function, applying the standard Hermite-Hadamard inequality. Our approach is different from their one in \cite{PSMA2016}. As…

Classical Analysis and ODEs · Mathematics 2020-04-08 Shigeru Furuichi , Nicuşor Minculete

In this paper some Hadamard_type inequalities for product of convex functions of 2-variables on the co-ordinates are given.

Classical Analysis and ODEs · Mathematics 2011-04-29 M Emin Ozdemir , Ahmet Ocak Akdemir

In this paper, we improve and further generalize some Ostrowski-Gr\"uss type inequalities for the fractional integrals by using new Montogomery identities.

Classical Analysis and ODEs · Mathematics 2012-03-13 Mehmet Zeki Sarikaya , Hatice Yaldiz , Naihan Basak

The median principle is applied for different integral inequalities of Gruss and Ostrowski type.

Analysis of PDEs · Mathematics 2025-10-20 Sever Silvestru Dragomir

In this paper we established new Hadamard-type inequalities for functions that co-ordinated Godunova-Levin functions and co-ordinated P-convex functions, therefore we proved a new inequality involving product of convex functions and…

Classical Analysis and ODEs · Mathematics 2011-03-28 Ahmet Ocak Akdemir , M. Emin Ozdemir

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

Recently, the so-called Hermite-Hadamard inequality for (operator) convex functions with one variable has known extensive several developments by virtue of its nice properties and various applications. The fundamental target of this paper…

Classical Analysis and ODEs · Mathematics 2024-05-22 Mustapha Raissouli , Lahcen Tarik , Mohamed Chergui

In this paper, we consider a new class of convex functions which is called $\lambda$-preinvex functions. We prove several Hermite-Hadamard type inequalities for differentiable $\lambda$-preinvex functions via Fractional Integrals. Some…

Classical Analysis and ODEs · Mathematics 2016-03-08 Abdullah Akkurt , M. Esra Yildirim , Hüseyin Yildirim

In this paper, we establish some new inequalities of the Hermite-Hadamard like for class of (h-s)_{1,2}-convex functions which are ordinary, super-multiplicative or similarly ordered and nonnegative.

Classical Analysis and ODEs · Mathematics 2012-03-19 M. Emin Ozdemir , Ahmet Ocak Akdemir , Mevlut Tunc