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

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 refinements of the considered inequalities. © 2020, The Author(s).

Authors
Matković A.1 , Pečarić J. 2
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Number
242
Volume
2020
Year
2020
Organizations
  • 1 Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Rudjera Boškovića 32, Split, 21000, Croatia
  • 2 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
Keywords
Jensen–Mercer inequality; Čebyšev’s inequality of the Mercer type
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/72872/
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