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

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The purpose of this paper is to study the Hermite-Hadamard type inequality for r-preinvex and ({\alpha}, m)-preinvex function which is based on Sugeno integral.

偏微分方程分析 · 数学 2018-07-18 Kavita U. Shinde , Deepak B. Pachpatte

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, we extend some estimates of the left hand side of a Hermite- Hadamard type inequality for nonconvex functions whose derivatives absolute values are preinvex and log-preinvex.

泛函分析 · 数学 2012-03-22 Mehmet Zeki Sarikaya , Hakan Bozkurt , Necmettin Alp

In this paper, firstly we have established Hermite--Hadamard-Fej\'er inequality for fractional integrals. Secondly, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for the fractional integrals have been…

经典分析与常微分方程 · 数学 2014-05-01 İmdat İşcan

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, we have established some generalized integral inequalities of Hermite-Hadamard-Fej\'er type for generalized fractional integrals. The results presented here would provide generalizations of those given in earlier works.

经典分析与常微分方程 · 数学 2017-06-20 Abdullah Akkurt , Hüseyin Yildirim

In this paper, some Hermite-Hadamard type inequalities are established for harmonically $(\alpha,m)$-convex functions via fractional integrals and some Hermite-Hadamard type inequalities are obtained for these classes of functions.

经典分析与常微分方程 · 数学 2015-05-12 Mehmet Kunt , İmdat İşcan

In this paper, some new inequalities of the Hermite-Hadamard type for h-convex functions via Riemann-Liouville fractional integral are given.

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

In this paper, first we have established Hermite- Hadamard's inequalities for preinvex functions via fractional integrals. Second we extend some estimates of the right side of a Hermite- Hadamard type inequality for preinvex functions via…

经典分析与常微分方程 · 数学 2014-03-04 Imdat Iscan

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, we obtain some new integral inequalities like Hermite-Hadamard type for third derivatives absolute value are log-convex. We give some applications to quadrature formula for midpoint error estimate.

经典分析与常微分方程 · 数学 2014-05-30 Merve Avci Ardic , M. E. Ozdemir

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, 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

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 notation of strongly log-convex functions with respect to c>0 is introduced and versions of Hermite Hadamard-type inequalities for strongly logarithmic convex functions are established.

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

In the paper, the authors introduce a notion "$(\alpha,m)$-GA-convex functions" and establish some integral inequalities of Hermite-Hadamard type for $(\alpha,m)$-GA-convex functions.

经典分析与常微分方程 · 数学 2014-12-02 Ai-Ping Ji , Tian-Yu Zhang , Feng Qi

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, 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 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
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