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In the paper, the authors introduce a new concept "extended $s$-convex functions", establish some new integral inequalities of Hermite-Hadamard type for this kind of functions, and apply these inequalities to derive some inequalities of…

经典分析与常微分方程 · 数学 2015-06-02 Bo-Yan Xi , Feng Qi

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.

经典分析与常微分方程 · 数学 2012-12-06 Judit Makó , Zsolt Páles

In this paper, we obtain several inequalities of Ostrowski type that the absolute values of n-time differntiable functions are convex.

泛函分析 · 数学 2014-02-21 M. Emİn Özdemİr , ÇEtİn Yildiz

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…

经典分析与常微分方程 · 数学 2022-02-09 Yamilet Quintana , José M. Rodríguez , José M. Sigarreta Almira

In this paper we deal with improvement of Jensen, Jensen-Steffensen's and Jensen's functionals related inequalities for uniformly convex, phi-convex and superquadratic functions.

泛函分析 · 数学 2025-01-03 Shoshana Abramovich

In this paper, we establish several new convex dominated functions and then we obtain new Hadamard type inequalities.

经典分析与常微分方程 · 数学 2012-02-10 M. Emin Ozdemir , Havva Kavurmaci , Mevlut Tunc

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

泛函分析 · 数学 2012-07-05 Amir G. Ghazanfari

In this paper, we prove an operator version of the Jensen's inequality and its converse for $h$-convex functions. We provide a refinement of the Jensen type inequality for $h$-convex functions. Moreover, we prove the Hermite-Hadamard's type…

泛函分析 · 数学 2022-01-19 Ismail Nikoufar , Davuod Saeedi

In this paper, the author established Hermite-Hadamard's inequalities for harmonically convex functions via fractional integrals and obtained some Hermite-Hadamard type inequalities of these classes of functions.

经典分析与常微分方程 · 数学 2013-12-30 Imdat Iscan

In this paper, The author introduces the concepts of the GA-s-convex functions in the first sense and second sense and establishes some integral inequalities of Hermite-Hadamard type related to the GA-s-convex functions.

经典分析与常微分方程 · 数学 2013-07-12 Imdat Iscan

This short study consists of two parts, firstly we obtain some inequalities on Caputo Fractional derivatives using the elementary inequalities. Secondly we establish several new inequalities including Caputo fractional derivatives for…

泛函分析 · 数学 2024-04-24 M. Emin Özdemir

We present Hermite--Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on simplices

经典分析与常微分方程 · 数学 2014-01-06 D. Śliwińska , Sz. Wasowicz

The author introduce the concept of harmonically convex functions and establish some Hermite-Hadamard type inequalities of these classes of functions

经典分析与常微分方程 · 数学 2013-03-26 Imdat Iscan

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.

泛函分析 · 数学 2014-07-10 Amir Ghasem Ghazanfari

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 $\mathbb{R}^{\alpha}(0<\alpha<1).$

经典分析与常微分方程 · 数学 2015-06-25 Huixia Mo , Xin Sui

In this paper, we establish various inequalities for some mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose absolute values belong to the class K?;s m;1 and K?;s m;2.

经典分析与常微分方程 · 数学 2013-08-20 Muhammad Muddassar , Ahsan Ali

In this paper, we give the refinement of an extension of Jensen's inequality to affine combinations. Furthermore, we present the functional form of Jensen's inequality for continuous 3-convex functions of one variable at a point.

经典分析与常微分方程 · 数学 2016-01-25 Imran Abbas Baloch , Silvestru Sever Dragomir

In this paper, we prove some new inequalities of Hadamard-type for s-convex functions on the co-ordinates.

经典分析与常微分方程 · 数学 2012-03-22 M. Emin Ozdemir , Mevlut Tunc , Ahmet Ocak Akdemir

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.…

综合数学 · 数学 2020-10-14 Ilham A. Aliev , Mehmet E. Tamar , Cagla Sekin

In this paper, we prove some new inequalities of Hadamard-type for convex functions on the co-ordinates.

经典分析与常微分方程 · 数学 2012-03-21 M. Emin Ozdemir , Ahmet Ocak Akdemir , Mevlut Tunc