Estimation of divergences on time scales via the Green function and Fink’s identity

The aim of the present paper is to obtain new generalizations of an inequality for n-convex functions involving Csiszár divergence on time scales using the Green function along with Fink’s identity. Some new results in h-discrete calculus and quantum calculus are also presented. Moreover, inequalities for some divergence measures are also deduced. © 2021, The Author(s).

Authors
Ansari I.1, 2 , Khan K.A.1 , Nosheen A.3 , Pečarić Ð.4 , Pečarić J. 5
Journal
Advances in Difference Equations
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Link
External link
DOI
10.1186/s13662-021-03550-2
Number
394
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 Mathematics and Statistics, The University of Lahore (Sargodha Campus), Sargodha, Pakistan
  • 4 Department of Media and Communication, University North, Trg dr. žarka Dolinara 1, Koprivnica, Croatia
  • 5 RUDN University, Miklukho-Maklaya str. 6, 117198, Moscow, Russian Federation
Keywords
Csiszár divergence; Fink’s identity; Green function; Time scale calculus
Date of creation
16.12.2021
Date of change
16.12.2021
Short link
https://repository.rudn.ru/en/records/article/record/76477/
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