Hermite-Hadamard Type Integral Inequalities for Functions Whose Second-Order Mixed Derivatives Are Coordinated(s,m)-P-Convex-Reference-Cited by-同舟云学术

Hermite-Hadamard Type Integral Inequalities for Functions Whose Second-Order Mixed Derivatives Are Coordinated(s,m)-P-Convex

Published:2018 Issue: Volume:2018 Page:1-7
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Bai Yu-Mei¹,Wu Shan-He²^ORCID,Wu Ying¹

Affiliation:

1. College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, Inner Mongolia Autonomous Region 028043, China

2. Department of Mathematics, Longyan University, Longyan, Fujian 364012, China

Abstract

We establish some new Hermite-Hadamard type integral inequalities for functions whose second-order mixed derivatives are coordinated(s,m)-P-convex. An expression form of Hermite-Hadamard type integral inequalities via the beta function and the hypergeometric function is also presented. Our results provide a significant complement to the work of Wu et al. involving the Hermite-Hadamard type inequalities for coordinated(s,m)-P-convex functions in an earlier article.

Funder

Natural Science Foundation of Fujian Province

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2018/1693075.pdf

Reference22 articles.

1. Some Hermite-Hadamard Type Inequalities for Harmonicallys-Convex Functions

2. On some new inequalities of Hermite-Hadamard type for $m$ -- convex functions

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