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相关论文: Some new inequalities of Hermite-Hadamard's type

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In this paper, we establish several new inequalities for some twice differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

经典分析与常微分方程 · 数学 2012-06-12 Mehmet Zeki Sarikaya , Huseyin Yildirim

In this paper, we establish several new inequalities for twice differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

经典分析与常微分方程 · 数学 2010-05-05 M. Z. Sarikaya , A. Saglam , H. Yildirim

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

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

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, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite- Hadamard integral inequality for mappings whose derivatives are (h -($\alpha$?;m))-convex.The generalized…

泛函分析 · 数学 2013-04-11 Muhammad Muddassar , Muhammad Iqbal Bhatti

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

We have recently established some integral inequalities for convex functions via the Hermite-Hadamard's inequalities. In continuation here, we also establish some interesting new integral inequalities for convex functions via the…

经典分析与常微分方程 · 数学 2017-04-04 Khaled Mehrez , Praveen Agarwal

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…

泛函分析 · 数学 2013-04-10 Muhammad Muddassar , Muhammad Iqbal Bhatti , Wajeeha Irshad

In the present paper we establish some new integral inequalities analogous to the well known Hadamard inequality by using a fairly elementary analysis.

经典分析与常微分方程 · 数学 2012-01-16 Mevlut Tunc , S. Ugur Kirmaci

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

Inequalities play important roles not only in mathematics, but also in other fields, such as economics and engineering. Even though many results are published on Hermite-Hadamard (H-H) type inequalities, new researcher to this fields often…

经典分析与常微分方程 · 数学 2021-11-23 Ohud Almutairi , Adem Kılıçman

In the paper, the authors establish some new Hermite-Hadamard type inequalities for functions whose first derivatives are of convexity and apply these inequalities to construct inequalities of special means.

经典分析与常微分方程 · 数学 2015-12-16 Feng Qi , Tian-Yu Zhang , Bo-Yan Xi

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 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 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 several new inequalities for n- time differentiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality.

泛函分析 · 数学 2014-04-22 M. Emin Ozdemir , Cetin Yildiz

In this paper, we establish some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex. These results are connected with the celebrated Hermite-Hadamard-Fejer type integral inequality.…

经典分析与常微分方程 · 数学 2014-09-19 Erhan Set , Imdat Iscan , M. Zeki Sarikaya , M. Emin Ozdemir

In this paper, we define a new identity for twice differentiable mappings and obtained some new estimates on the generalization of Hadamard's and Simson's type inequalities for quasi-geometrically convex mappings using of this identity.

经典分析与常微分方程 · 数学 2016-03-09 Zaffer Elahi , Muhammad Muddassar

In this paper, we establish some new inequalities of Hadamard's type for L-Lipschitzian mapping in two variables.

经典分析与常微分方程 · 数学 2011-12-30 M. Z. Sarikaya , H. Yaldiz
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