Refinement of Jensen’s inequality and estimation of f- and Rényi divergence via Montgomery identity

Refinement of Jensen’s inequality and estimation of f- and Rényi divergence via Montgomery identity

Abstract Jensen’s inequality is important for obtaining inequalities for divergence between probability distribution. By applying a refinement of Jensen’s inequality (Horváth et al. in Math. Inequal. Appl. 14:777–791, 2011) and introducing a new functional based on an f-divergence functional, we obt...

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Bibliographic Details
Main Authors: Khuram Ali Khan, Tasadduq Niaz, Ðilda Pec̆arić, Josip Pec̆arić
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Journal of Inequalities and Applications
Subjects:
m-convex function
Jensen’s inequality
f- and Rényi divergence
Montgomery identity
Entropy
Online Access:http://link.springer.com/article/10.1186/s13660-018-1902-9

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http://link.springer.com/article/10.1186/s13660-018-1902-9

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