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

Authors :
Yu-Mei Bai
Shan-He Wu
Ying Wu
Source :
Journal of Function Spaces, Vol 2018 (2018)
Publication Year :
2018
Publisher :
Hindawi Limited, 2018.

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.

Subjects

Subjects :
Mathematics
QA1-939

Details

Language :
English
ISSN :
23148896 and 23148888
Volume :
2018
Database :
Directory of Open Access Journals
Journal :
Journal of Function Spaces
Publication Type :
Academic Journal
Accession number :
edsdoj.059d1cdaa155420388efd501a2809bd0
Document Type :
article
Full Text :
https://doi.org/10.1155/2018/1693075