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相关论文: Hermite-Hadamard Type Inequality for Log-convex Fu…

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In this paper, we not only give the extensions of the results given in [7] by Gill et al. for log-convex functions, but also obtain some new Hadamard type inequalities for log-convex, m-convex and (alpha,m)-convex functions.

泛函分析 · 数学 2011-04-01 Erhan Set , M. Emin Ozdemir , Sever 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, we extend some estimates of the right hand side of a Hermite- Hadamard type inequality for nonconvex functions whose second derivatives absolute values are \phi-convex, log-\phi-convex, and quasi-\phi-convex.

泛函分析 · 数学 2013-12-04 Mehmet Zeki Sarikaya , Hakan Bozkurt , Mehmet Eyüp Kiris

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 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 are interested in investigating a weighted variant of Hermite-Hadamard type inequalities involving convex functionals. The approach undertaken makes it possible to refine and reverse certain inequalities already known in…

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

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

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 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 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 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

The aim of this paper is to generalize the Hermite--Hadamard inequality for functions convex on the coordinates. Our composite result generalizes the result of Dragomir in \cite{Drag}. Many other interesting inequalities can be derived from…

经典分析与常微分方程 · 数学 2018-01-01 Eze R. Nwaeze

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 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 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 prove some new inequalities of Hadamard-type for convex functions on the co-ordinates.

经典分析与常微分方程 · 数学 2012-03-21 M. Emin Ozdemir , Ahmet Ocak Akdemir , Mevlut Tunc

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

In this paper, new integral inequalities of Hadamard type involving several differentiable \Phi-r-convex functions are given.

经典分析与常微分方程 · 数学 2012-03-13 Mehmet Zeki Sarikaya , Hatice Yaldiz , Hakan Bozkurt

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, it is a fuction that is a harmonically-convex differentiable for a new identity. As a result of this identity some new and general inequalities for differentiable harmonically-convex functions are obtained.

经典分析与常微分方程 · 数学 2016-01-26 İmdat İşcan , Sercan Turhan , Selahattİn Maden