Generalizations of the Jensen functional involving diamond integrals via Abel–Gontscharoff interpolation-Reference-Cited by-同舟云学术

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

Published:2022-01-12 Issue:1 Volume:2022 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Bibi Rabia,Nosheen Ammara,Bano Shanaz,Pečarić Josip

Abstract

AbstractIn 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13660-021-02748-y.pdf

Reference22 articles.

1. Agarwal, R.P., Bohner, M., Peterson, A.: Inequalities on time scales: a survey. Math. Inequal. Appl. 4, 535–558 (2001)

2. Agarwal, R.P., Wong, P.J.Y.: Error Inequalities in Polynomial Interpolation and Their Applications. Kluwer Academic, Dordrecht (1993)

3. Alomari, M.: q-Benoulli inequality. Turk. J. Sci. 3(1), 32–39 (2018)

4. Bibi, R., Nosheen, A., Pecaric, J.: Generalization of Jensen-type linear functional on time scales via Lidstone polynomial. Cogent Math. Stat. 4(1), 1330670 (2017)

5. Bibi, R., Nosheen, A., Pecaric, J.: Extended Jensen’s type inequalities for diamond integrals via Taylor’s formula. Turk. J. Inequal. 3(1), 7–18 (2019)

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