On new general integral inequalities for s-convex functions

被引：3

作者：

Iscan, Imdat ^{[1
]}

Set, Erhan ^{[2
]}

Ozdemir, M. Emin ^{[3
]}

机构：

[1] Giresun Univ, Fac Arts & Sci, Dept Math, TR-28100 Giresun, Turkey

[2] Ordu Univ, Fac Arts & Sci, Dept Math, TR-52200 Ordu, Turkey

[3] Ataturk Univ, KK Educ Fac, Dept Math, TR-25240 Erzurum, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 246卷

关键词：

Convex function; s-Convex function; Simpson's inequality; Hermite-Hadamard's inequality; HADAMARD-TYPE;

D O I：

10.1016/j.amc.2014.08.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 means of real numbers are provided as well. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：306 / 315

页数：10

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