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.

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Bibliographic Details
Published in:Journal of inequalities and applications 2021-06, Vol.2021 (1), p.1-17, Article 101
Main Authors: Ramzan, Sofia, Nosheen, Ammara, Bibi, Rabia, Pečarić, Josip
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Convex functions
Diamond integrals
Diamonds
Identities
Jensen’s inequality
Mathematics
Mathematics and Statistics
Time scales calculus
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Description
Summary: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.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-021-02629-4