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相关论文: New Inequalities of Steffensen's type for s-convex…

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In this paper, a general form of integral inequalities of Hermite-Hadamard's type through differentiability for s-Convex function in second sense and whose all derivatives are absolutely continuous are established. The generalized integral…

泛函分析 · 数学 2013-06-25 Muhammad Muddassar , Muhammad Iqbal Bhatti

In this note we extend some new estimates of the integral $\int_a^b (x-a)^p(b-x)^qf(x)dx$ for functions when a power of the absolute value is $P-$convex.

泛函分析 · 数学 2012-02-02 Wenjun Liu

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…

经典分析与常微分方程 · 数学 2011-03-28 Ahmet Ocak Akdemir , M. Emin Ozdemir

In this paper, we establish some new Hadamard type inequalities for s-logarithmically convex functions in the second sense via fractional integrals by using Lemma 1 which has been proved by Sarikaya et al. in the paper [3].

泛函分析 · 数学 2012-12-10 Havva Kavurmaci , Mevlut Tunc

In this paper, firstly we have established Hermite-Hadamard's inequalities for s-convex functions in the second sense and m-convex functions via fractional integrals. Secondly, a Hadamard type integral inequality for the fractional…

经典分析与常微分方程 · 数学 2011-12-30 Erhan Set , M. Zeki Sarikaya , M. Emin Özdemir , Hüseyin Yıldırım

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…

经典分析与常微分方程 · 数学 2013-04-17 Mevlut Tunc

In this paper, using some aspects of convex functions, we refine discrete Jensen's inequality via weight functions. Then, using these results, we give some applications in different abstract spaces and obtain some new interesting…

数值分析 · 数学 2007-05-23 Jamal Rooin

In this paper, some new inequalities of Ostrowski type established for the class of m- and (alpha,m)-geometrically convex functions which are generalizations of geometric convex functions.

经典分析与常微分方程 · 数学 2012-11-29 Mevlut Tunc

In this paper, new sharpened Huygens type inequalities involving Bessel and modified Bessel functions of the first kinds are established

经典分析与常微分方程 · 数学 2015-12-21 Khaled Mehrez

The aim of the present paper is to obtain some new fractional integral inequalities for convex functions. Saigo fractional integral operator is used to establish the results.

经典分析与常微分方程 · 数学 2018-11-06 Vaijanath L. Chinchane , Deepak B. Pachpatte

In this paper, the author introduces the concept of the symmetrized p-convex function, gives Hermite-Hadamard type inequalities for symmetrized p-convex functions.

综合数学 · 数学 2019-01-30 İmdat İşcan

In this paper, we established new inequalities of Ostrowski's type for the class of preinvex functions are introduced.

经典分析与常微分方程 · 数学 2013-11-12 Imdat Iscan

This is a survey paper concerning some theorems on stochastic convex ordering and their applications to functional inequalities for convex functions. We present the recent results on those subjects

经典分析与常微分方程 · 数学 2017-02-01 Teresa Rajba

Some inequalities for different types of convexity are established.

经典分析与常微分方程 · 数学 2013-09-27 Merve Avci Ardic

In this paper we obtain some new refinements and reverses of Young's operator inequality. Extensions for convex functions of operators are also provided.

泛函分析 · 数学 2015-10-07 Silvestru Sever Dragomir

In this paper, a new approach of defining Steiner symmetrization of coercive convex functions is proposed and some fundamental properties of the new Steiner symmetrization are proved. Further, using the new Steiner symmetrization, we give a…

微分几何 · 数学 2014-03-04 Youjiang Lin , Gangsong Leng , Lujun Guo

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.

经典分析与常微分方程 · 数学 2013-01-30 Mevlut Tunc , Ebru Yuksel

It is established that general s-convex functions are a new class of generalized convex functions. In a similar vein, a new class of general s-convex sets is introduced, which are generalizations of s-convex sets. Additionally, certain…

最优化与控制 · 数学 2023-01-03 Musavvir Ali , Ehtesham Akhter

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

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

经典分析与常微分方程 · 数学 2014-02-03 Mevlut Tunc