Generalized Jensen’s functional on time scales via extended Montgomery identity

In the paper, we use Jensen’s inequality for diamond integrals and generalize it for n-convex functions with the help of an extended Montgomery identity. Moreover, the bounds have been suggested for identities associated with the generalized Jensen-type functional.

Authors
Ramzan S.1 , Nosheen A.1 , Bibi R.2 , Pečarić J. 3
Journal
Journal of Inequalities and Applications
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Volume
2021
Year
2021
Organizations
  • 1 Department of Mathematics and Statistics|The University of Lahore (Sargodha Campus)
  • 2 Department of Mathematics|Abbottabad University of Science and Technology
  • 3 RUDN University
Keywords
convex functions; Diamond integrals; Jensen's inequality; 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/80392/
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