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In this paper, new identity for fractional integrals have been defined. By using of this identity, we obtained new general inequalities containing all of Hadamard, Ostrowski and Simpson type inequalities for for functions whose derivatives…

经典分析与常微分方程 · 数学 2013-08-01 Imdat Iscan

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 paper, a general integral identity for twice differentiable functions is derived. By using of this identity, the author establish some new estimates on Hermite-Hadamard type and Simpson type inequalities for s-convex via Riemann…

经典分析与常微分方程 · 数学 2013-04-16 Imdat Iscan

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, a general integral identity for a twice differentiable functions is derived. By using of this identity, the author establishes some new Hermite-Hadamard type and Simpson type inequalities for differentiable…

经典分析与常微分方程 · 数学 2014-08-15 Imdat Iscan

In this paper, the authors gives a new identity for Hadamard fractional integrals. By using of this identity, the authors obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for (alpha?;m)-GA-convex…

经典分析与常微分方程 · 数学 2015-05-14 Mehmet Kunt , Imdat Iscan

In this paper, a new identity for differentiable functions is derived. Thus we can obtain new estimates on generalization of Hadamard,Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power…

经典分析与常微分方程 · 数学 2012-08-01 Imdat Iscan

In this paper, a new identity for fractional integrals is established. Then by making use of the established identity, some new Ostrowski type inequalities for harmonically s-convex functions via Riemann--Liouville fractional integral are…

经典分析与常微分方程 · 数学 2014-01-03 Imdat Iscan

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

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

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

New identity similar to an identity of [13] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractional integral have been developed. Our results have…

经典分析与常微分方程 · 数学 2013-04-01 Erhan Set

In this paper, some Ostrowski type inequalities via Riemann-Liouville fractional integrals for h-convex functions, which are super-multiplicative or super-additive, are given. These results not only generalize those of Set (2012) and Tunc…

泛函分析 · 数学 2012-11-21 Wenjun Liu

In this paper, the author obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for Lipschitzian functions via Hadamard fractional integrals. Some applications to special means of positive reals…

经典分析与常微分方程 · 数学 2014-05-16 Imdat Iscan

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 obtain new estimates on generalization of Hermite-Hadamard, Simpson and Ostrowski type inequalities for functions whose second derivatives is $\varphi$-convex via fractional integrals.

经典分析与常微分方程 · 数学 2016-07-19 M. Esra Yildirim , 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, a general integral identity for convex functions is derived. Then, we establish new some inequalities of the Simpson and the Hermite-Hadamard's type for functions whose absolute values of derivatives are convex. Some…

经典分析与常微分方程 · 数学 2010-05-18 M. Z. Sarikaya , N. Aktan

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, 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
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