Estimation of divergence measures on time scales via Taylor’s polynomial and Green’s function with applications in q-calculus

Taylor’s polynomial and Green’s function are used to obtain new generalizations of an inequality for higher order convex functions containing Csiszár divergence on time scales. Various new inequalities for some divergence measures in quantum calculus and h-discrete calculus are also established. © 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/s13662-021-03528-0
Number
374
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, Moscow, 117198, Russian Federation
Keywords
Green’s function; Quantum calculus; Taylor’s polynomial; Time scales calculus
Date of creation
16.12.2021
Date of change
16.12.2021
Short link
https://repository.rudn.ru/en/records/article/record/76483/
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