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Some Integral Inequalities of Simpson Type for Strongly Extended <i>s</i>-Convex Functions
College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, China
College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, China
- 1 College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, China
- 2 College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, China
Advances in Pure Mathematics·Volume 06 (2016)·Pages 745–753·Published 8 October 2016·DOI10.4236/apm.2016.611060
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Abstract
The main purpose of this survey paper is to point out some very recent developments on Simpson’s inequality for strongly extended s-convex function. Firstly, the concept of strongly extended s -convex function is introduced. Next a new identity is also established. Finally, by this identity and H ? lder’s inequality, some new Simpson type for the product of strongly extended s -convex function are obtained.
KeywordsSimpson Type InequalityIntegral IdentityStrongly Extended <i>s</i>-Convex Function
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