New entropic bounds on time scales via Hermite interpolating polynomial

Hermite’s interpolation is utilized to establish a new generalization of an inequality for higher order convex functions containing Csiszár divergence on time scales. New entropic bounds in q-calculus and h-discrete calculus are also deduced. Some estimates for Zipf–Mandelbrot entropy are also given. © 2021, The Author(s).

Authors
Ansari I.1, 2 , Khan K.A.1 , Nosheen 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/s13660-021-02730-8
Number
195
Volume
2021
Year
2021
Organizations
  • 1 Department of Mathematics, University of Sargodha, Sargodha, Pakistan
  • 2 Government Mian Muhammad Nawaz Sharif Associate College Sargodha, Sargodha, Pakistan
  • 3 Department of Media and Communication, University North, Trg dr. Žarka Dolinara 1, Koprivnica, Croatia
  • 4 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
Keywords
Hermite interpolating polynomial; Information theory; Quantum calculus; Time scales calculus
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/84607/
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