UPRAVLENETS (THE MANAGER).
Федеральное государственное бюджетное образовательное учреждение высшего образования "Уральский государственный экономический университет".
Vol. 10.
2019.
P. 14-23
ESTIMATION OF DIFFERENT ENTROPIES VIA TAYLOR ONE POINT AND TAYLOR TWO POINTS INTERPOLATIONS USING JENSEN TYPE FUNCTIONALS
In this work, we estimated the different entropies like Shannon entropy, Renyi 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 Taylor one point and Taylor two points interpolations are used to generalize the new inequalities for m-convex function.
Authors
Niaz T.1,
2
,
Khan K.A.1
,
Pecaric D.3
,
Pecaric J.
4
Publisher
ETAMATHS PUBL
Number of issue
5
Language
English
Pages
686-710
Status
Published
Volume
17
Year
2019
Organizations
- 1 Univ Sargodha, Dept Math, Sargodha 40100, Pakistan
- 2 Univ Lahore, Dept Math, Sargodha Campus, Sargodha 40100, Pakistan
- 3 Catholic Univ Croatia, Ilica 242, Zagreb, Croatia
- 4 RUDN Univ, Miklukho Maklaya Str 6, Moscow 117198, Russia
Keywords
m-convex function; Jensen's inequality; Shannon entropy; f- and Renyi divergence; Taylor interpolation; entropy
Date of creation
24.12.2019
Date of change
24.12.2019
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Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni.
European Mathematical Society Publishing House.
Vol. 30.
2019.
P. 511-531