Estimation of different entropies via Hermite interpolating polynomial using Jensen type functionals

We estimated the different entropies like Shannon entropy, Rényi divergences, Csiszar divergence by using the Jensen’s type functionals. The Zipf’s mandelbrot law and hybrid Zipf’s mandelbrot law are used to estimate the Shannon entropy. Further the Hermite interpolating polynomial is used to generalize the new inequalities for m-convex function. © 2020, Forum D'Analystes, Chennai.

Authors
Khan K.A. 1 , Niaz T. 1, 2 , Pečarić Đ. 3 , Pečarić J. 4
Journal
Journal of Analysis
Publisher
Springer Science and Business Media B.V.
Issue number
1
Language
English
Pages
15-46
State
Published
Link
External link
DOI
10.1007/S41478-020-00245-X
Volume
29
Year
2021
Organizations
  • 1 Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan
  • 2 Department of Mathematics, University of Central Punjab, Lahore, Pakistan
  • 3 Catholic University of Croatia, Ilica 242, Zagreb, Croatia
  • 4 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
Keywords
Entropy; f- and Rényi divergence; Hermite polynomial; Jensen’s inequality; m-Convex function; Shannon entropy
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