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相关论文: On some inequalities for s-logarithmically convex …

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By making use of the identity obtained by Sarikaya, some new Hermite-Hadamard type inequalities for h-convex functions on the co-ordinates via fractional integrals are established. Our results have some relationships with the results of…

经典分析与常微分方程 · 数学 2014-02-14 Erhan Set , M. Zeki Sarikaya , Hatice Ogulmus

In this paper, firstly we have established Hermite-Hadamard's inequalities for s-convex functions in the second sense and m-convex functions via fractional integrals. Secondly, a Hadamard type integral inequality for the fractional…

经典分析与常微分方程 · 数学 2011-12-30 Erhan Set , M. Zeki Sarikaya , M. Emin Özdemir , Hüseyin Yıldırım

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

In this study, the author establish some inequalities of Hadamard like based on convex and s-convexity in the second sense. Some applications to special means of positive real numbers are also given.

经典分析与常微分方程 · 数学 2014-02-03 Mevlut Tunc

In this paper we establish some new inequalities of Hadamard-type for product of convex and s-convex functions in the second sense.

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

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 describe s-logarithmically convex functions in the first and second sense which are connected with the ordinary logatihmic convex and s-convex in the first and second sense. Afterwards, some new inequalities related to…

泛函分析 · 数学 2012-12-10 Ahmet Ocak Akdemir , Mevlut Tunc

In this paper, we establish some new Hadamard type inequalities using elementary well known inequalities for functions whose inequalities absolute values are {\alpha}-, m-, ({\alpha},m)-logarithmically convex.

经典分析与常微分方程 · 数学 2013-01-30 Mevlut Tunc , Ebru Yuksel

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, 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 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 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

In this paper, two new classes of convex functions as a generalization of convexity which is called (h-s)_{1,2}-convex functions are given. We also prove some Hadamard-type inequalities and applications to the special means are given.

经典分析与常微分方程 · 数学 2013-04-17 M. Emin Ozdemir , Mevlut Tunc , Ahmet Ocak Akdemir

In this paper, we established some new Hadamard-type integral inequalities for functions whose derivatives of absolute values are m-convex and ({\alpha},m)-convex functions via Riemann-Liouville fractional integrals.

泛函分析 · 数学 2012-01-30 M. Emin Özdemir , Merve Avcı , A. Ocak Akdemir , Alper Ekinci

This monograph is associated with the renowned Hermite-Hadamard's integral inequality of $2$-variables on the co-ordinates. In this article we established several inequalities of the type of Hadamard's for the mappings whose absolute values…

泛函分析 · 数学 2015-08-21 M. I. Bhatti , M. Muddassar , F. Yasin

In this paper we establish Hermite-Hadamard type inequalities for mappings whose derivatives are s-convex in the second sense and concave.

经典分析与常微分方程 · 数学 2013-04-01 Erhan Set , M. Emin Ozdemir , M. Zeki Sarikaya , Filiz Karakoc

In this paper, we establish some new Ostrowski type inequalities for s-logarithmically convex functions by using Riemann-Liouville fractional integrals. Some applications of our results to P.D.F.'s are given.

经典分析与常微分方程 · 数学 2013-06-04 Mevlut Tunc , Ahmet Ocak Akdemir

In this study, we establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications to special means of positive real numbers are also given and generalized. Examples are…

经典分析与常微分方程 · 数学 2013-04-23 Mevlut Tunc

New identity for fractional integrals have been defined. By using of this identity, we obtained new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for s-convex, quasi-convex, m-convex functions via Riemann…

经典分析与常微分方程 · 数学 2012-08-09 Imdat Iscan

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
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