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
• 26d15