New upper bounds for the weighted Chebyshev functional
Abstract
New upper bounds for the weighted Chebyshev functional under various conditions, including those of Steffensen type, are given. The obtained results are used to establish some new bounds for the Jensen functional.
Keywords
Chebyshev inequality; Jensen inequality; Chebyshev functional; Jensen functional; Jensen–Steffensen inequality; Ostrowski inequality
References
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Faculty of Science, University of Split Croatia
https://orcid.org/0000-0002-8753-2186
Croatian Academy of Sciences and Arts Croatia
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