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2018 | OriginalPaper | Chapter

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

Author : Silvestru Sever Dragomir

Published in: Applications of Nonlinear Analysis

Publisher: Springer International Publishing

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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.

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Title: Reverses of Jensen’s Integral Inequality and Applications: A Survey of Recent Results
Author: Silvestru Sever Dragomir
Publisher: Springer International Publishing
Book: Applications of Nonlinear Analysis
Print ISBN: 978-3-319-89814-8

Electronic ISBN: 978-3-319-89815-5

Copyright Year: 2018
DOI: https://doi.org/10.1007/978-3-319-89815-5_8

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