Reverses of Jensen’s Integral Inequality and Applications: A Survey of Recent Results

Silvestru Sever Dragomir ()
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Silvestru Sever Dragomir: Victoria University

A chapter in Applications of Nonlinear Analysis, 2018, pp 193-263 from Springer

Abstract: Abstract Several new reverses of the celebrated Jensen’s inequality for convex functions and Lebesgue integral on measurable spaces are surveyed. Applications for weighted discrete means, to Hölder inequality, Cauchy-Bunyakovsky-Schwarz inequality and for f-divergence measures in information theory are also given. Finally, applications for functions of selfadjoint operators in Hilbert spaces with some examples of interest are also provided.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-89815-5_8

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DOI: 10.1007/978-3-319-89815-5_8

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