Hermite-Hadamard Type Integral Inequalities for Functions Whose Second-Order Mixed Derivatives Are Coordinated (s,m)-P-Convex
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...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/1693075 |
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| _version_ | 1849308406433710080 |
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| author | Yu-Mei Bai Shan-He Wu Ying Wu |
| author_facet | Yu-Mei Bai Shan-He Wu Ying Wu |
| author_sort | Yu-Mei Bai |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-059d1cdaa155420388efd501a2809bd0 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-059d1cdaa155420388efd501a2809bd02025-08-20T03:54:28ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/16930751693075Hermite-Hadamard Type Integral Inequalities for Functions Whose Second-Order Mixed Derivatives Are Coordinated (s,m)-P-ConvexYu-Mei Bai0Shan-He Wu1Ying Wu2College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, Inner Mongolia Autonomous Region 028043, ChinaDepartment of Mathematics, Longyan University, Longyan, Fujian 364012, ChinaCollege of Mathematics, Inner Mongolia University for Nationalities, Tongliao, Inner Mongolia Autonomous Region 028043, ChinaWe 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.http://dx.doi.org/10.1155/2018/1693075 |
| spellingShingle | Yu-Mei Bai Shan-He Wu Ying Wu Hermite-Hadamard Type Integral Inequalities for Functions Whose Second-Order Mixed Derivatives Are Coordinated (s,m)-P-Convex Journal of Function Spaces |
| title | Hermite-Hadamard Type Integral Inequalities for Functions Whose Second-Order Mixed Derivatives Are Coordinated (s,m)-P-Convex |
| title_full | Hermite-Hadamard Type Integral Inequalities for Functions Whose Second-Order Mixed Derivatives Are Coordinated (s,m)-P-Convex |
| title_fullStr | Hermite-Hadamard Type Integral Inequalities for Functions Whose Second-Order Mixed Derivatives Are Coordinated (s,m)-P-Convex |
| title_full_unstemmed | Hermite-Hadamard Type Integral Inequalities for Functions Whose Second-Order Mixed Derivatives Are Coordinated (s,m)-P-Convex |
| title_short | Hermite-Hadamard Type Integral Inequalities for Functions Whose Second-Order Mixed Derivatives Are Coordinated (s,m)-P-Convex |
| title_sort | hermite hadamard type integral inequalities for functions whose second order mixed derivatives are coordinated s m p convex |
| url | http://dx.doi.org/10.1155/2018/1693075 |
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