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相关论文: Some New Hermite-Hadamard type inequalities for s-…

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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…

经典分析与常微分方程 · 数学 2024-05-22 Mustapha Raissouli , Lahcen Tarik , Mohamed Chergui

This research aimed to explore some new Hermite-Hadamard inequalities for strongly harmonic convex set-valued functions with modulus c > 0 introduced by G. Santana

泛函分析 · 数学 2022-01-19 Gabriel Santana , Maira Valera

In this paper, the authors gives a new identity for Hadamard fractional integrals. By using of this identity, the authors obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for (alpha?;m)-GA-convex…

经典分析与常微分方程 · 数学 2015-05-14 Mehmet Kunt , Imdat Iscan

In this paper, we introduce the notion of (g,\Phi_{h})-convex dominated function and present some properties of them. Finally, we present a version of Hermite-Hadamard-type inequalities for (g,\Phi_{h})-convex dominated functions. Our…

经典分析与常微分方程 · 数学 2012-08-07 M. Emin Ozdemir , Mustafa Gurbuz , Havva Kavurmaci

In this paper several inequalities of the right-hand side of Hermite-Hadamard's inequality are obtained for the class of functions whose derivatives in absolutely value at certain powers are strongly {\varphi}-convex with modulus c>0.

经典分析与常微分方程 · 数学 2012-05-29 Imdat Iscan , Erdal Unluyol

In this paper, we prove some new inequalities of Simpson's type for functions whose derivatives of absolute values are h-convex and h-concave functions. Some new estimations are obtained. Also we give some sophisticated results for some…

经典分析与常微分方程 · 数学 2014-02-03 Mevlut Tunc , Cetin Yildiz , Alper Ekinci

In this paper, the Authors establish a new identity for differentiable functions. By the well-known H\"older and power mean inequality, they obtain some integral inequalities related to the convex functions and apply these inequalities to…

经典分析与常微分方程 · 数学 2014-06-30 Mevlut Tunc , Sevil Balgecti

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…

泛函分析 · 数学 2014-12-19 A. G. Ghazanfari , A. Barani

Some Hermite-Hadamard's mid-point type inequalities related to Katugampola fractional integrals are obtained where the first derivative of considered mappings is Lipschitzian or convex. Also some mid-point type inequalities are given for…

综合数学 · 数学 2019-02-21 M. Rostamian Delavar

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.

经典分析与常微分方程 · 数学 2016-07-19 M. Esra Yildirim , Abdullah Akkurt , Hüseyin Yildirim

In this paper, we obtain some new inequalities for functions whose second derivatives' absolute value is s-convex and log-convex. Also, we give some applications for numerical integration.

经典分析与常微分方程 · 数学 2014-09-04 Ahmet Ocak Akdemir , Merve Avci Ardic , M. Emin Özdemir

In this paper, we establish several inequalities for s-convex mappings that are connected with the Riemann-Liouville fractional integrals. Our results have some relationships with certain integral inequalities in the literature.

经典分析与常微分方程 · 数学 2012-01-25 M. Emin Ozdemir , Havva Kavurmaci , Cetin Yildiz

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…

泛函分析 · 数学 2019-02-19 M. Rostamian Delavar , S. S. Dragomir

In this paper we establish a Hermite- Hadamard type inequality for operator preinvex functions and an estimate of the right hand side of a Hermite- Hadamard type inequality in which some operator preinvex functions of selfadjoint operators…

泛函分析 · 数学 2013-06-05 A. G. Ghazanfari , M. Shakoori , A. Barani , S. S. Dragomir

In this paper, we established some new inequalities via s-convex and s-concave functions.

经典分析与常微分方程 · 数学 2012-12-11 Merve Avci Ardic , M. Emin Ozdemir

Some refinements of the Hermite-Hadamard inequality are obtained in the case of continuous convex functions defined on simplices.

经典分析与常微分方程 · 数学 2012-01-04 F. -C. Mitroi , C. I. Spiridon

This paper aims to characterize the function appearing in the weighted Hermite-Hadamard inequality. We provide improved inequalities for the weighted means as applications of the obtained results. Modifications of the weighted…

综合数学 · 数学 2023-01-02 Shigeru Furuichi , Nicuşor Minculete , Hamid Reza Moradi

In literature the Hermite-Hadamard inequality was eligible for many reasons, one of the most surprising and interesting that the Hermite-Hadamard inequality combine the midpoint and trapezoid formulae in an inequality. In this work, a…

经典分析与常微分方程 · 数学 2016-03-29 Mohammad W. Alomari

In this paper, we establish some new integral inequalities for for m- and (alpha,m)-logarithmically convex functions.

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

In this paper, we establish a new refinement of the right-hand side of Hermite-Hadamard inequality for convex functions of several variables defined on simplices.

经典分析与常微分方程 · 数学 2019-03-05 Monika Nowicka , Alfred Witkowski