Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions
We establish a Fejér type inequality for harmonically convex functions. Our results are the generalizations of some known results. Moreover, some properties of the mappings in connection with Hermite-Hadamard and Fejér type inequalities for harmonically convex functions are also considered.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/386806 |
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| _version_ | 1832558880463257600 |
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| author | Feixiang Chen Shanhe Wu |
| author_facet | Feixiang Chen Shanhe Wu |
| author_sort | Feixiang Chen |
| collection | DOAJ |
| description | We establish a Fejér type inequality for harmonically convex functions. Our results are the generalizations of some known results. Moreover, some properties of the mappings in connection with Hermite-Hadamard and Fejér type
inequalities for harmonically convex functions are also considered. |
| format | Article |
| id | doaj-art-98e68ae30c3349f1b4391ac49873a7b0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-98e68ae30c3349f1b4391ac49873a7b02025-02-03T01:31:24ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/386806386806Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex FunctionsFeixiang Chen0Shanhe Wu1School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing 404000, ChinaDepartment of Mathematics and Computer Science, Longyan University, Longyan, Fujian 364012, ChinaWe establish a Fejér type inequality for harmonically convex functions. Our results are the generalizations of some known results. Moreover, some properties of the mappings in connection with Hermite-Hadamard and Fejér type inequalities for harmonically convex functions are also considered.http://dx.doi.org/10.1155/2014/386806 |
| spellingShingle | Feixiang Chen Shanhe Wu Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions Journal of Applied Mathematics |
| title | Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions |
| title_full | Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions |
| title_fullStr | Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions |
| title_full_unstemmed | Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions |
| title_short | Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions |
| title_sort | fejer and hermite hadamard type inequalities for harmonically convex functions |
| url | http://dx.doi.org/10.1155/2014/386806 |
| work_keys_str_mv | AT feixiangchen fejerandhermitehadamardtypeinequalitiesforharmonicallyconvexfunctions AT shanhewu fejerandhermitehadamardtypeinequalitiesforharmonicallyconvexfunctions |