Entropy results for Levinson-type inequalities via Green functions and Hermite interpolating polynomial

In this work, Levinson type inequalities involving two types of data points are proved using Green functions and the Hermite interpolating polynomial for the class of n-convex functions. In seek of applications to information theory some estimates for new functionals are obtained, based on f-divergence. Moreover, some inequalities involving Shannon entropies are deduced as well. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Authors
Adeel M.1, 2 , Khan K.A.1 , Pečarić Đ.3 , Pečarić J. 4
Journal
Aequationes Mathematicae
Publisher
Birkhauser Verlag Basel
Language
English
Status
Published
Link
External link
DOI
10.1007/s00010-021-00845-3
Year
2021
Organizations
  • 1 Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan
  • 2 Department of Mathematics, University of Central Punjab, Lahore, Pakistan
  • 3 Department of Media and Communication, University North, Trg dr. Žarka Dolinara 1, Koprivnica, 242, Croatia
  • 4 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
Keywords
Convex functions; Information theory; Levinson’s Inequality
Date of creation
16.12.2021
Date of change
16.12.2021
Short link
https://repository.rudn.ru/en/records/article/record/77083/
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