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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

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…

经典分析与常微分方程 · 数学 2012-08-09 Imdat Iscan

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…

偏微分方程分析 · 数学 2017-05-09 Muharrem Tomar , Praveen Agarwal , Mohamed Jleli

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, a new identity for convex functions is derived. A consequence of the identity is that we can derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in…

经典分析与常微分方程 · 数学 2012-07-31 Imdat Iscan

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…

经典分析与常微分方程 · 数学 2013-10-21 İmdat İşcan

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, we establish some new inequalities of Ostrowski's type for functions whose derivatives in absolute value are the class of s-convex. Some applications for special means of real numbers are also provided. Finally, some error…

经典分析与常微分方程 · 数学 2010-05-06 E. Set , M. E. Ozdemir , M. Z. Sarikaya

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, 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…

泛函分析 · 数学 2013-06-25 Muhammad Muddassar , Muhammad Iqbal Bhatti

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, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and Simpson formula using functions whose derivatives in absolute value at certain power are s-convex. Some applications to special…

经典分析与常微分方程 · 数学 2014-04-04 Imdat Iscan , Erhan Set , M. Emin Ozdemir

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 h-convex and we point out the results for some special…

经典分析与常微分方程 · 数学 2012-07-11 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.

经典分析与常微分方程 · 数学 2010-06-15 Erhan Set , Mehmet Zeki Sarikaya , M. Emin Ozdemir

In this paper, we prove some new inequalities of Simpson's type for functions whose derivatives of absolute values are h-convex and h-concave functions. Some new estimations are obtained. Also we give some sophisticated results for some…

经典分析与常微分方程 · 数学 2014-02-03 Mevlut Tunc , Cetin Yildiz , Alper Ekinci

In this paper, the authors establish a new type integral inequalities for differentiable s-convex functions in the second sense. By the well-known H\"older inequality and power mean inequality, they obtain some integral inequalities related…

经典分析与常微分方程 · 数学 2014-07-07 Mevlut Tunc , Sevil Balgecti

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 ({\alpha},m)-convex.

经典分析与常微分方程 · 数学 2012-07-11 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, 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 ({\alpha},m)-convex.

经典分析与常微分方程 · 数学 2012-07-24 Imdat Iscan

In this paper, we established some new inequalities via s-convex and s-concave functions.

经典分析与常微分方程 · 数学 2012-12-11 Merve Avci Ardic , M. Emin Ozdemir
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