On a variant of Čebyšev’s inequality of the Mercer type

Abstract We consider the discrete Jensen–Mercer inequality and Čebyšev’s inequality of the Mercer type. We establish bounds for Čebyšev’s functional of the Mercer type and bounds for the Jensen–Mercer functional in terms of the discrete Ostrowski inequality. Consequentially, we obtain new refinement...

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Bibliographic Details
Main Authors: Anita Matković, Josip Pečarić
Format: Article
Language:English
Published: SpringerOpen 2020-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02509-3