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相关论文: On a weighted Hermite-Hadamard inequality involvin…

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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

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

In this article, we focus on establishing a new variant of Hermite-Hadamard type inequalities for operator convex maps using an appropriate probability measure. To underline the usefulness of these inequalities, we investigate some…

泛函分析 · 数学 2024-05-21 Mustapha Raissouli , Lahcen Tarik , Mohamed Chergui

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, we establish (presumably new type) integral inequalities for convex functions via the Hermite--Hadamard's inequalities. As applications, we apply these new inequalities to construct inequalities involving special means of…

经典分析与常微分方程 · 数学 2017-11-28 Khaled Mehrez , Praveen Agarwal

Some new Hermite-Hadamard's inequalities for h-convex functions are proved, generalizing and unifying a number of known results. Some new applications for special Means of real numbers are also derived.

经典分析与常微分方程 · 数学 2015-11-18 Muhammad Iqbal , Muhammad Muddassar , Muhammad Iqbal Bhatti

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…

经典分析与常微分方程 · 数学 2020-04-08 Shigeru Furuichi , Nicuşor Minculete

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, 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

The main target of this paper is to discuss operator Hermite--Hadamard inequality for convex functions, without appealing to operator convexity. Several forms of this inequality will be presented and some applications including norm and…

泛函分析 · 数学 2019-08-07 Hamid Reza Moradi , Mohammad Sababheh , Shigeru Furuichi

In this paper, some new integral inequalities of Hermite-Hadamard type related to the s-geometrically convex functions are established and some applications to special means of positive real numbers are also given.

经典分析与常微分方程 · 数学 2013-07-23 İmdat İşcan

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.

综合数学 · 数学 2020-02-10 Dafang Zhao , Tianqing An , Guoju Ye , Delfim F. M. Torres

In this paper, we establish new some Hermite-Hadamard's type inequalities of convex functions of 2-variables on the co-ordinates.

经典分析与常微分方程 · 数学 2013-04-03 M. Z. Sarikaya , E. Set , M. E. Ozdemir , S. S. Dragomir

In this paper, we introduce the concept of operator geometrically convex functions for positive linear operators and prove some Hermite-Hadamard type inequalities for these functions. As applications, we obtain trace inequalities for…

泛函分析 · 数学 2015-08-14 Ali Taghavi , Vahid Darvish , Haji Mohammad Nazari , Sever S. Dragomir

In this paper, some new integral inequalities of Hermite-Hadamard type related to the s-geometrically convex functions are established and some applications to special means of positive real numbers are also given.

经典分析与常微分方程 · 数学 2013-07-24 Imdat Iscan

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, some new inequalities of the Hermite-Hadamard type for h- convex functions whose modulus of the derivatives are h-convex and applications for special means are given.

经典分析与常微分方程 · 数学 2012-02-13 Mevlut Tunc , Huseyin Yildirim

In this paper, we extend the Hermite-Hadamard type $\dot{I}$scan inequality to the class of symmetrized harmonic convex functions. The corresponding version for harmonic h-convex functions is also investigated. Furthermore, we establish…

经典分析与常微分方程 · 数学 2017-11-23 Shanhe Wu , Basharat Rehman Ali , Imran Abbas Baloch , Absar Ul Haq

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…

泛函分析 · 数学 2019-12-30 Dafang Zhao , Muhammad Aamir Ali , Ghulam Murtaza

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
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