Molecules.
MDPI AG.
Vol. 25.
2020.
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
Publisher
Elsevier B.V.
Language
English
Status
Published
Link
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
Share
Other records
Klinichescheskaya Laboratornaya Diagnostika.
Izdatel'stvo Meditsina.
Vol. 65.
2020.
P. 191-196