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

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. © 2018 The Authors

Authors
Khan K.A.1 , Niaz T.1, 2 , Pečarić
Journal
Arab Journal of Mathematical Sciences
Publisher
Elsevier B.V.
Language
English
Status
Published
Link
External link
DOI
10.1016/j.ajmsc.2018.12.002
Year
2020
Organizations
  • 1 Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan
  • 2 Department of Mathematics, The University of Lahore, Sargodha-Campus, Sargodha, 40100, Pakistan
  • 3 Catholic University of Croatia, Ilica, Zagreb 242, Croatia
  • 4 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
Keywords
Abel–Gontscharoff Green function; Entropy; f- and Rényi divergence; Fink's identity; Jensen's inequality; m-convex function; Shannon entropy
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/65534/
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