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Related papers: Simpson Type Inequalities via $\varphi$-Convexity

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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 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, 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

In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are convex and concave.Finally, we gave some applications for special means.

Functional Analysis · Mathematics 2012-10-24 M. Emin Özdemir , Merve Avci Ardic

In this paper, we establish some new Hadamard type inequalities using elementary well known inequalities for functions whose inequalities absolute values are {\alpha}-, m-, ({\alpha},m)-logarithmically convex.

Classical Analysis and ODEs · Mathematics 2013-01-30 Mevlut Tunc , Ebru Yuksel

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 obtain some new inequalities of Hermite-Hadamard type and Simpson type for functions whose third derivatives belong to Godunova-Levin class.

Functional Analysis · Mathematics 2012-12-07 M. E. Ozdemir , M. Avci Ardic , M. Gurbuz

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 estimates of the right hand side of a Hermite-Hadamard type inequality in which some quasi-convex functions are involved.

Classical Analysis and ODEs · Mathematics 2011-03-11 Cetin Yildiz , Ahmet Ocak Akdemir , Merve Avci

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…

Classical Analysis and ODEs · Mathematics 2013-04-16 Imdat Iscan

Some new inequalities of Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are given.Applications for special means are also provided.

Classical Analysis and ODEs · Mathematics 2010-06-15 Erhan Set , Mehmet Zeki Sarikaya , M. Emin Ozdemir

In this paper we establish Hermite-Hadamard type inequalities for mappings whose derivatives are s-convex in the second sense and concave.

Classical Analysis and ODEs · Mathematics 2013-04-01 Erhan Set , M. Emin Ozdemir , M. Zeki Sarikaya , Filiz Karakoc

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…

Functional Analysis · Mathematics 2013-06-25 Muhammad Muddassar , Muhammad Iqbal Bhatti

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

In this paper, we establish some new inequalities for class of SX(h,I) convex functions which are supermultiplicative or superadditive and nonnegative. And we also give some applications for special means.

Classical Analysis and ODEs · Mathematics 2014-02-03 Mevlut Tunc

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 obtain some Hermite-Hadamard type inequalities for functions whose third derivatives in absolute value are preinvex and prequasiinvex.

Functional Analysis · Mathematics 2013-01-16 M. Emin Ozdemir , Merve Avci Ardic

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are P-functions. Some applications to special means of real…

Classical Analysis and ODEs · Mathematics 2014-05-01 Imdat Iscan , Erhan Set , M. Emin Ozdemir

In this paper, we first obtain a generalized integral identity for twice local differentiable functions. Then, using functions whose second derivatives in absolute value at certain powers are generalized s convex in the second sense, we…

Analysis of PDEs · Mathematics 2017-05-09 Muharrem Tomar , Praveen Agarwal , Mohamed Jleli

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…

Classical Analysis and ODEs · Mathematics 2017-11-28 Khaled Mehrez , Praveen Agarwal