Reverses of the Jensen inequality in terms of first derivative and applications

Two new reverses of the celebrated Jensen integral inequality for convex functions with applications for means, the Hölder inequality and f -divergence measures in information theory are given.

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Bibliographic Details
Published inActa mathematica vietnamica Vol. 38; no. 3; pp. 429 - 446
Main Author Dragomir, S. S.
Format Journal Article
LanguageEnglish
Published Singapore Springer Singapore 01.09.2013
Subjects
Mathematics
Mathematics and Statistics
94A05
Jensen’s inequality
Divergence
26D20
Divergence measures
Measurable functions
Lebesgue integral
26D15
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Summary:Two new reverses of the celebrated Jensen integral inequality for convex functions with applications for means, the Hölder inequality and f -divergence measures in information theory are given.
ISSN:0251-4184
2315-4144
DOI:10.1007/s40306-013-0029-9