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In this paper, we establish Ostrowski's type inequalities for strongly-convex functions where c>0 by using some classical inequalities and elemantery analysis. We also give some results for product of two strongly-convex functions.

Classical Analysis and ODEs · Mathematics 2012-06-12 Erhan Set , M. Emin Ozdemir , M. Zeki Sarikaya , A. Ocak Akdemir

In this paper, we establish some new Ostrowski type inequalities for the class of h-convex functions which are super-multiplicative or super-additive and nonnegative. Some applications for special means and PDF's are given.

Functional Analysis · Mathematics 2014-02-03 Mevlut Tunc

In this work, new inequalities connected with the Steffensen's integral inequality for s-convex functions are proved

Classical Analysis and ODEs · Mathematics 2016-04-08 Mohammad W. Alomari

In this paper, we obtained some new Ostrowski-Gruss type inequalities contains twice differentiable functions.

Classical Analysis and ODEs · Mathematics 2010-12-27 M. Emin Ozdemir , Ahmet Ocak Akdemir , Erhan Set

In this paper, we establish new inequalities of Ostrowski type for functions whose derivatives in absolute value are m-convex. We also give some applications to special means of positive real numbers. Finally, we obtain some error estimates…

Classical Analysis and ODEs · Mathematics 2010-06-09 Havva Kavurmaci , Merve Avci , M. Emin Ozdemir

In this paper, the author establishes some Hadamard-type and Bullen-type inequalities for Lipschitzian functions via Riemann Liouville fractional integral. These results have some relationships with [K.-L. Tseng, S.-R. Hwang and K.-C. Hsu,…

Classical Analysis and ODEs · Mathematics 2013-08-27 Imdat Iscan

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…

Classical Analysis and ODEs · Mathematics 2014-05-16 Imdat Iscan

In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are s-convex and s-concave.

Functional Analysis · Mathematics 2012-10-29 M. Emin Özdemir , Merve Avci Ardic

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, 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.

Classical Analysis and ODEs · Mathematics 2013-07-23 İmdat İşcan

In this paper, we establish new an inequality of weighted Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.

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

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…

Classical Analysis and ODEs · Mathematics 2011-12-30 Erhan Set , M. Zeki Sarikaya , M. Emin Özdemir , Hüseyin Yıldırım

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, it is a fuction that is a GA-convex differentiable for a new identity. As a result of this identity, some new and general integral inequalities for differentiable GA-convex functions are obtained.

Classical Analysis and ODEs · Mathematics 2016-08-06 İmdat İşcan , Sercan Turhan

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.

Classical Analysis and ODEs · Mathematics 2013-07-24 Imdat Iscan

Generalizations of Ostrowski type inequality for functions of Lipschitzian type are established. Applications in numerical integration and cumulative distribution functions are also given.

Functional Analysis · Mathematics 2007-05-25 Wen-jun Liu , Qiao-ling Xue , Jian-wei Dong

In this paper, a new identity for differentiable functions is derived. A consequence of the identity is that the author establishes some new general inequalities containing all of the Hermite-Hadamard and Simpson-like type for functions…

Classical Analysis and ODEs · Mathematics 2013-10-21 İmdat İşcan

In this paper, we establish some new Hadamard type inequalities for s-logarithmically convex functions in the second sense via fractional integrals by using Lemma 1 which has been proved by Sarikaya et al. in the paper [3].

Functional Analysis · Mathematics 2012-12-10 Havva Kavurmaci , Mevlut Tunc

We establish new integral inequalities of Hermite-Hadamard type for the recent class of $\eta$-convex functions. This is done via generalized $(k,r)$-Riemann-Liouville fractional integral operators. Our results generalize some known…

Classical Analysis and ODEs · Mathematics 2019-01-01 Eze R. Nwaeze , Delfim F. M. Torres

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…

Classical Analysis and ODEs · Mathematics 2014-02-14 Erhan Set , M. Zeki Sarikaya , Hatice Ogulmus