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
收藏
页码：306 / 315
页数：10
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