Advances in Difference Equations. Vol. 2020. 2020.
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
Publisher
Springer Science and Business Media Deutschland GmbH
Issue number
3
Language
English
Pages
613-631
State
Published
Link
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
Share
Other records
Journal of Pseudo-Differential Operators and Applications. Vol. 11. 2020. P.. 1699-1717