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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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 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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source Publicly Available Content Database; Springer Nature - SpringerLink Journals - Fully Open Access
subjects Analysis
Applications of Mathematics
Convex functions
Diamond integrals
Diamonds
Identities
Jensen’s inequality
Mathematics
Mathematics and Statistics
Time scales calculus
title Generalized Jensen’s functional on time scales via extended Montgomery identity
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