Application of Functionals in Creating Inequalities
The paper deals with the fundamental inequalities for convex functions in the bounded closed interval. The main inequality includes convex functions and positive linear functionals extending and refining the functional form of Jensen’s inequality. This inequality implies the Jensen, Fejér, and, thus...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/9324804 |
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| _version_ | 1850219769023692800 |
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| author | Zlatko Pavić Shanhe Wu Vedran Novoselac |
| author_facet | Zlatko Pavić Shanhe Wu Vedran Novoselac |
| author_sort | Zlatko Pavić |
| collection | DOAJ |
| description | The paper deals with the fundamental inequalities for convex functions in the bounded closed interval. The main inequality includes convex functions and positive linear functionals extending and refining the functional form of Jensen’s inequality. This inequality implies the Jensen, Fejér, and, thus, Hermite-Hadamard inequality, as well as their refinements. |
| format | Article |
| id | doaj-art-7a2c9eb4dc06482cb5c9ac921d0bf951 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7a2c9eb4dc06482cb5c9ac921d0bf9512025-08-20T02:07:16ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/93248049324804Application of Functionals in Creating InequalitiesZlatko Pavić0Shanhe Wu1Vedran Novoselac2Mechanical Engineering Faculty in Slavonski Brod, University of Osijek, Trg Ivane Brlić Mažuranić 2, 35000 Slavonski Brod, CroatiaDepartment of Mathematics, Longyan University, Longyan, Fujian 364012, ChinaMechanical Engineering Faculty in Slavonski Brod, University of Osijek, Trg Ivane Brlić Mažuranić 2, 35000 Slavonski Brod, CroatiaThe paper deals with the fundamental inequalities for convex functions in the bounded closed interval. The main inequality includes convex functions and positive linear functionals extending and refining the functional form of Jensen’s inequality. This inequality implies the Jensen, Fejér, and, thus, Hermite-Hadamard inequality, as well as their refinements.http://dx.doi.org/10.1155/2016/9324804 |
| spellingShingle | Zlatko Pavić Shanhe Wu Vedran Novoselac Application of Functionals in Creating Inequalities Journal of Function Spaces |
| title | Application of Functionals in Creating Inequalities |
| title_full | Application of Functionals in Creating Inequalities |
| title_fullStr | Application of Functionals in Creating Inequalities |
| title_full_unstemmed | Application of Functionals in Creating Inequalities |
| title_short | Application of Functionals in Creating Inequalities |
| title_sort | application of functionals in creating inequalities |
| url | http://dx.doi.org/10.1155/2016/9324804 |
| work_keys_str_mv | AT zlatkopavic applicationoffunctionalsincreatinginequalities AT shanhewu applicationoffunctionalsincreatinginequalities AT vedrannovoselac applicationoffunctionalsincreatinginequalities |