On the converse Jensen inequality for strongly convex functions
Counterparts of the converse Jensen inequality for strongly convex and strongly midconvex functions are presented. The Jessen inequality and converse Jessen inequality (involving linear positive normalized functionals) for strongly convex functions are also given.
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| Published in: | Journal of mathematical analysis and applications Vol. 434; no. 1; pp. 516 - 522 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier Inc
01.02.2016
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| Subjects: | |
| ISSN: | 0022-247X, 1096-0813 |
| Online Access: | Get full text |
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| Summary: | Counterparts of the converse Jensen inequality for strongly convex and strongly midconvex functions are presented. The Jessen inequality and converse Jessen inequality (involving linear positive normalized functionals) for strongly convex functions are also given. |
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| ISSN: | 0022-247X 1096-0813 |
| DOI: | 10.1016/j.jmaa.2015.09.032 |