ESTIMATION OF f-DIVERGENCE AND SHANNON ENTROPY BY LEVINSON TYPE INEQUALITIES VIA LIDSTONE INTERPOLATING POLYNOMIAL

Using Lidstone interpolating polynomial, some new generalizations of Levinson-type inequalities for 2p-convex functions are obtained. In seek of applications to information theory, based on f-divergence, the estimates for new generalizations are also given. Moreover, inequalities for Shannon entropies are deduced.

Authors
Adeel M.1, 2 , Khan K.A.1 , Pecaric D.3 , Pecaric J. 4
Journal
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE
Publisher
IVANE JAVAKHISHVILI TBILISI STATE UNIV
Number of issue
1
Language
English
Pages
1-11
Status
Published
Volume
175
Year
2021
Organizations
  • 1 Univ Sargodha, Dept Math, Sargodha 40100, Pakistan
  • 2 Univ Cent Punjab, Lahore, Pakistan
  • 3 Univ North, Dept Media & Commun, Trg Dr Zarka Dolinara 1, Koprivnica, Croatia
  • 4 RUDN Univ, Moscow, Russia
Keywords
Information theory; Lidstone interpolating polynomial; Levinson's inequality
Date of creation
20.07.2021
Date of change
20.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/74576/
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