New Inequalities of Simpson's Type for s-Convex Functions with Applications

Alomari, Mohammad, Darus, Maslina and Dragomir, Sever S (2009) New Inequalities of Simpson's Type for s-Convex Functions with Applications. Research report collection, 12 (4).

Abstract

In terms of the first derivative, some inequalities of Simpson’s type based on s-convexity and concavity are introduced. Best Midpoint type inequalities are given. Error estimates for special means and some numerical quadrature rules are also obtained.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17768
Subjects Current > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Simpson's inequality, midpoint inequality, s-convex function
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