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

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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 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, 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 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 achieve some new Hadamard type inequalities using elementary well known inequalities for functions whose first derivatives absolute values are s-geometrically and geometrically convex. And also we get some applications for…

经典分析与常微分方程 · 数学 2013-02-06 Mevlut Tunc , Ibrahim Karabayir

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

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

In recent years, new classes of convex functions have been introduced in order to generalize the results and to obtain new estimations. We also introduce the concept of harmonically convex functions on the co-ordinates. Also, we establish…

经典分析与常微分方程 · 数学 2014-04-28 Erhan Set , 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 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, 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 paper, we establish several new inequalities for some 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 2013-04-03 A. Saglam , M. Z. Sarikaya , H. Yildirim

In this paper, some new inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are given. Finally, some error estimates for the trapezoidal formula are…

经典分析与常微分方程 · 数学 2010-06-09 Havva Kavurmaci , Merve Avci , M. Emin Ozdemir

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 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 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 some new inequalities of the Hermite-Hadamard like for class of (h-s)_{1,2}-convex functions which are ordinary, super-multiplicative or similarly ordered and nonnegative.

经典分析与常微分方程 · 数学 2012-03-19 M. Emin Ozdemir , Ahmet Ocak Akdemir , Mevlut Tunc

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

泛函分析 · 数学 2016-03-16 Ali Taghavi , Vahid Darvish , Haji Mohammad Nazari

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

In this paper, we established Hermite-Hadamard-Fejer type inequalities for s-convex functions in the second sense via fractional integrals. The some results presented here would provide extansions of those given in earlier works.

经典分析与常微分方程 · 数学 2014-12-03 Erhan Set , Imdat Iscan , Hasan Huseyin Kara
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