The Applications of Functional Variants of Jensen's Inequality
The paper is inspired by McShane's results on the functional form of Jensen's inequality for convex functions of several variables. The work is focused on applications and generalizations of this important result. At that, the generalizations of Jensen's inequality are obtained using...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/194830 |
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| _version_ | 1832563287845240832 |
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| author | Zlatko Pavić |
| author_facet | Zlatko Pavić |
| author_sort | Zlatko Pavić |
| collection | DOAJ |
| description | The paper is inspired by McShane's results on the functional form
of Jensen's inequality for convex functions of several variables. The work is
focused on applications and generalizations of this important result. At that,
the generalizations of Jensen's inequality are obtained using the positive linear
functionals. |
| format | Article |
| id | doaj-art-4c430ea5ebd441f3adef4f706189feb4 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-4c430ea5ebd441f3adef4f706189feb42025-02-03T01:20:33ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/194830194830The Applications of Functional Variants of Jensen's InequalityZlatko Pavić0Mechanical Engineering Faculty in Slavonski Brod, University of Osijek, Trg Ivane Brlić Mažuranić 2, 35000 Slavonski Brod, CroatiaThe paper is inspired by McShane's results on the functional form of Jensen's inequality for convex functions of several variables. The work is focused on applications and generalizations of this important result. At that, the generalizations of Jensen's inequality are obtained using the positive linear functionals.http://dx.doi.org/10.1155/2013/194830 |
| spellingShingle | Zlatko Pavić The Applications of Functional Variants of Jensen's Inequality Journal of Function Spaces and Applications |
| title | The Applications of Functional Variants of Jensen's Inequality |
| title_full | The Applications of Functional Variants of Jensen's Inequality |
| title_fullStr | The Applications of Functional Variants of Jensen's Inequality |
| title_full_unstemmed | The Applications of Functional Variants of Jensen's Inequality |
| title_short | The Applications of Functional Variants of Jensen's Inequality |
| title_sort | applications of functional variants of jensen s inequality |
| url | http://dx.doi.org/10.1155/2013/194830 |
| work_keys_str_mv | AT zlatkopavic theapplicationsoffunctionalvariantsofjensensinequality AT zlatkopavic applicationsoffunctionalvariantsofjensensinequality |