Generalizations of the Jensen functional involving diamond integrals via Abel–Gontscharoff interpolation

In this paper we obtain several refinements of the Jensen inequality on time scales by generalizing Jensen’s functional for n-convex functions. We also investigate the bounds for the identities related to the new improvements obtained. © 2022, The Author(s).

Authors
Bibi R.1 , Nosheen A.2 , Bano S.2 , Pečarić J. 3
Journal
Journal of Inequalities and Applications
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Link
External link
DOI
10.1186/S13660-021-02748-Y
Number
15
Volume
2022
Year
2022
Organizations
  • 1 Department of Mathematics, Abbottabad University of Science and Technology, Havelian, Abbottabad, Pakistan
  • 2 Department of Mathematics, University of Sargodha, Sargodha, Pakistan
  • 3 Rudn University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
Keywords
Abel–Gontscharoff’s interpolation polynomial; Green function; Jensen’s inequality; Time-scales calculus
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