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相关论文: Hadamard Type Inequalities for m-Convex and ({\alp…

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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 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, some new inequalities of Ostrowski type established for the class of m- and (alpha,m)-geometrically convex functions which are generalizations of geometric convex functions.

经典分析与常微分方程 · 数学 2012-11-29 Mevlut Tunc

In this paper, we establish some new Ostrowski's type inequalities for m- and (alpha,m)- logarithmically convex functions by using the Riemann-Liouville fractional integrals.

经典分析与常微分方程 · 数学 2012-12-11 Ahmet Ocak Akdemir

In this paper, we obtained some new estimates on generalization of Hadamard, Ostrowski and Simpson-like type inequalities for harmonically quasi-convex functions via Riemann Liouville fractional integral.

经典分析与常微分方程 · 数学 2014-01-14 İmdat İscan

In this study, we establish a new integral inequalities of Hermite-Hadamard type for $s$-convexity via Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann-Liouville into a single form. We show…

综合数学 · 数学 2019-11-25 Ohud Almutairi , Adem Kilicman

New identity for fractional integrals have been defined. By using of this identity, some new Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral have been developed. Our results have some relationships with the…

泛函分析 · 数学 2012-02-03 M. Emin Ozdemir , Merve Avci , Havva Kavurmaci

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 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, 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, the author introduces the concept of the quasi-geometrically convex and defines a new identity for fractional integrals. By using of this identity, author obtains new estimates on generalization of Hadamard, Ostrowski and…

经典分析与常微分方程 · 数学 2013-07-15 Imdat Iscan

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 several inequalities for different convex mappings that are connected with the Riemann-Liouville fractional integrals. Our results have some relationships with certain integral inequalities in the literature.

经典分析与常微分方程 · 数学 2014-08-24 M. Emin Özdemir , ÇEtin Yildiz , Havva Kavurmaci

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 consider a new class of convex functions which is called $h_{\varphi}-$preinvex functions. We prove several Hermite--Hadamard type inequalities for differentiable $h_\varphi$-preinvex functions via Fractional Integrals.…

经典分析与常微分方程 · 数学 2015-12-14 Abdullah Akkurt , Hüseyin Yildirim

In this paper, we establish several inequalities for s-convex mappings that are connected with the Riemann-Liouville fractional integrals. Our results have some relationships with certain integral inequalities in the literature.

经典分析与常微分方程 · 数学 2012-01-25 M. Emin Ozdemir , Havva Kavurmaci , Cetin Yildiz

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, we establish some new integral inequalities for for m- and (alpha,m)-logarithmically convex functions.

经典分析与常微分方程 · 数学 2012-11-29 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, a new class of convex functions as a generalization of convexity which is called (h-m)-convex functions and some properties of this class is given. We also prove some Hadamard's type inequalities.

经典分析与常微分方程 · 数学 2011-04-01 M. E. Ozdemir , Ahmet Ocak Akdemir , Erhan Set