Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial

Levinson type inequalities are generalized by using Hermite interpolating polynomial for the class of n-convex functions. In seek of application to information theory, some estimates for new functional are obtained based on f divergence. Inequalities involving Shannon entropies are also discussed. © 2020, The Author(s).

Authors
Adeel M.1, 2 , Khan K.A.1 , Pečarić Ð.3 , Pečarić J. 4
Journal
Journal of Inequalities and Applications
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Link
External link
DOI
10.1186/s13660-020-02403-y
Number
137
Volume
2020
Year
2020
Organizations
  • 1 Department of Mathematics, University of Sargodha, Sargodha, Pakistan
  • 2 University of Central Punjab, Lahore, Pakistan
  • 3 Catholic University of Croatia, Ilica, Zagreb, Croatia
  • 4 Rudn University, Moscow, Russian Federation
Keywords
Convex functions; Information theory; Levinson’s Inequality
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/65524/
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