Estimation of f-divergence and Shannon entropy by Levinson type inequalities via new Green’s functions and Lidstone polynomial

By using new Green’s functions and Lidstone interpolating polynomial, some new generalizations of Levinson type inequalities for (2 p+ 1) -convex functions are obtained. In seek of applications of our results to information theory, new generalizations based on f-divergence estimates are also proven. Moreover, some inequalities for Shannon entropies are deduced as well. © 2020, The Author(s).

Authors
Adeel M.1, 2 , Khan K.A.1 , Pečarić Ð.3 , Pečarić J. 4
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Number
27
Volume
2020
Year
2020
Organizations
  • 1 Department of Mathematics, University of Sargodha, Sargodha, Pakistan
  • 2 Department of Mathematics, University of Central Punjab, Lahore, Pakistan
  • 3 Catholic University of Croatia, Zagreb, Croatia
  • 4 RUDN University, Moscow, Russian Federation
Keywords
Green’s functions; Information theory; Levinson’s inequality; Lidstone interpolating polynomial
Date of creation
10.02.2020
Date of change
10.02.2020
Short link
https://repository.rudn.ru/en/records/article/record/56488/