Estimation of different entropies via Lidstone polynomial using Jensen-type functionals

In this work, some new functional of Jensen-type inequalities are constructed using Shannon entropy, f-divergence, and Rényi divergence, and some estimates are obtained for these new functionals. Also using the Zipf–Mandelbrot law and hybrid Zipf–Mandelbrot law, we investigate some bounds for these new functionals. Furthermore, we generalize these new functionals for m-convex function using Lidstone polynomial. © 2020, The Author(s).

Authors
Khan K.A.1 , Niaz T.1, 2 , Pečarić Đ.3 , Pečarić J. 4
Journal
Arabian Journal of Mathematics
Publisher
Springer Science and Business Media Deutschland GmbH
Number of issue
3
Language
English
Pages
613-631
Status
Published
Link
External link
DOI
10.1007/s40065-020-00277-y
Volume
9
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
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64306/
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