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 , Pecaric J. 3
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Number
101
Volume
2021
Year
2021
Organizations
  • 1 Univ Lahore, Dept Math & Stat, Sargodha Campus, Sargodha, Pakistan
  • 2 Abbottabad Univ Sci & Technol, Dept Math, Havlian, Abbottabad, Pakistan
  • 3 RUDN Univ, Moscow, Russia
Keywords
Jensen's inequality; Convex functions; Diamond integrals; Time scales calculus
Date of creation
20.07.2021
Date of change
20.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/74531/
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