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相关论文: A new generalization of some integral inequalities…

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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 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 quasi-convex. Some applications to special means of real…

经典分析与常微分方程 · 数学 2012-07-12 Imdat Iscan

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 quasi-convex. Some applications to special means of real…

经典分析与常微分方程 · 数学 2012-07-25 Imdat Iscan

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 ({\alpha},m)-convex.

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

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

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, 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…

经典分析与常微分方程 · 数学 2014-05-01 Imdat Iscan , Erhan Set , M. Emin Ozdemir

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 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, we establish new general inequality for convex functions. Then we apply this inequality to obtain the midpoint, trapezoid and averaged midpoint-trapezoid integral inequality. Also, some applications for special means of real…

经典分析与常微分方程 · 数学 2012-05-10 M. Z. Sarikaya , H. Ogunmez , M. K. Yildiz

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, we first prove two new identities for multiplicative differentiable functions. Based on this identity, we establish a midpoint and trapezoid type inequalities for multiplicatively convex functions. Applications to special…

经典分析与常微分方程 · 数学 2022-08-02 Berhail Amel , Meftah Badreddine

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, the Authors establish a new identity for differentiable functions. By the well-known H\"older and power mean inequality, they obtain some integral inequalities related to the convex functions and apply these inequalities to…

经典分析与常微分方程 · 数学 2014-06-30 Mevlut Tunc , Sevil Balgecti

In this paper, we establish some new inequalities for functions whose third derivatives in the absolute value are m-convex.

泛函分析 · 数学 2011-12-16 M. Emin Özdemir , Merve Avci , Havva Kavurmaci

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

In this paper, an integral identity for twice differentiable functions is generalized. Then, by using convexity of |f''| or q-th power of |f''| and with the aid of power mean and Holder's inequalities we achieved some new results. We also…

泛函分析 · 数学 2015-03-10 Mustafa Gurbuz , Abdullah Yaradilmis

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

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
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