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On some Bounds for the Parameter λ in Steffensen's Inequality
PECARIC, JOSIP,KALAMIR, KSENIJA SMOLJAK Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.4
The object is to obtain weaker conditions for the parameter ${\lambda}$ in Steffensen's inequality and its generalizations and refinements additionally assuming nonnegativity of the function f. Furthermore, we contribute to the investigation of the Bellman-type inequalites establishing better bounds for the parameter ${\lambda}$.