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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.

Classical Analysis and ODEs · Mathematics 2012-01-25 M. Emin Ozdemir , Havva Kavurmaci , Cetin Yildiz

In the literature, the left-side of Hermite--Hadamard's inequality is called a midpoint type inequality. In this article, we obtain new integral inequalities of midpoint type for Riemann--Liouville fractional integrals of convex functions…

General Mathematics · Mathematics 2020-05-05 Pshtiwan Othman Mohammed

In this paper, we extend the Montogomery identities for the Riemann-Liouville fractional integrals. We also use this Montogomery identities to establish some new integral inequalities for convex functions.

Classical Analysis and ODEs · Mathematics 2010-05-10 M. Z. Sarikaya , H. Ogunmez

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

Classical Analysis and ODEs · Mathematics 2014-02-03 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…

Classical Analysis and ODEs · Mathematics 2012-08-09 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.

Functional Analysis · Mathematics 2012-01-30 M. Emin Özdemir , Merve Avcı , A. Ocak Akdemir , Alper Ekinci

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…

Classical Analysis and ODEs · Mathematics 2013-08-01 Imdat Iscan

In this paper, we establish some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex. These results are connected with the celebrated Hermite-Hadamard-Fejer type integral inequality.…

Classical Analysis and ODEs · Mathematics 2014-09-19 Erhan Set , Imdat Iscan , M. Zeki Sarikaya , M. Emin Ozdemir

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.

Classical Analysis and ODEs · Mathematics 2013-06-04 Mevlut Tunc , Ahmet Ocak Akdemir

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…

Functional Analysis · Mathematics 2012-11-21 Wenjun Liu

This short study consists of two parts, firstly we obtain some inequalities on Caputo Fractional derivatives using the elementary inequalities. Secondly we establish several new inequalities including Caputo fractional derivatives for…

Functional Analysis · Mathematics 2024-04-24 M. Emin Özdemir

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.

Classical Analysis and ODEs · Mathematics 2014-01-14 İmdat İscan

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…

Functional Analysis · Mathematics 2012-02-03 M. Emin Ozdemir , Merve Avci , Havva Kavurmaci

In this paper, we establish some integral ineuqalities for n- times differentiable convex functions.

Classical Analysis and ODEs · Mathematics 2013-10-04 Merve Avci Ardic

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…

Classical Analysis and ODEs · Mathematics 2014-01-03 Imdat Iscan

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.

Classical Analysis and ODEs · Mathematics 2012-12-11 Ahmet Ocak Akdemir

In this paper, we consider a new class of convex functions which is called $\lambda$-preinvex functions. We prove several Hermite-Hadamard type inequalities for differentiable $\lambda$-preinvex functions via Fractional Integrals. Some…

Classical Analysis and ODEs · Mathematics 2016-03-08 Abdullah Akkurt , M. Esra Yildirim , Hüseyin Yildirim

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…

Classical Analysis and ODEs · Mathematics 2014-05-01 İmdat İşcan

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…

Classical Analysis and ODEs · Mathematics 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…

Classical Analysis and ODEs · Mathematics 2014-08-15 Imdat Iscan
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