On new general integral inequalities for s-convex functions

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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.

论文关键词:Convex function,s-Convex function,Simpson’s inequality,Hermite–Hadamard’s inequality

论文评审过程:Available online 3 September 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.08.041