Estimation of different entropies via Abel–Gontscharoff Green functions and Fink’s identity using Jensen type functionals

Autor:	Khuram Ali Khan, Tasadduq Niaz, Đilda Pečarić, Josip Pečarić
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	m-convex function Jensen’s inequality Shannon entropy f- and Rényi divergence Fink’s identity Abel–Gontscharoff Green function Mathematics QA1-939
Zdroj:	Arab Journal of Mathematical Sciences, Vol 26, Iss 1/2, Pp 15-39 (2020)
Druh dokumentu:	article
ISSN:	2588-9214 1319-5166
DOI:	10.1016/j.ajmsc.2018.12.002/full/pdf
Popis:	In this work, we estimated the different entropies like Shannon entropy, Rényi divergences, Csiszár divergence by using Jensen’s type functionals. The Zipf’s–Mandelbrot law and hybrid Zipf’s–Mandelbrot law are used to estimate the Shannon entropy. The Abel–Gontscharoff Green functions and Fink’s Identity are used to construct new inequalities and generalized them for m-convex function.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/f319bd4d655749739e8a2703586e3943 Zobrazit plný text záznamu View record in DOAJ