Some improvements and generalizations of Steffensen’s integral inequality

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摘要

In this paper, the authors present several interesting results on improvements of Steffensen’s integral inequality. Moreover, an error in a generalization of Steffensen’s inequality due to Mercer [P.R. Mercer, Extensions of Steffensen’s inequality, J. Math. Anal. Appl. 246 (2000) 325–329] is corrected.

论文关键词：Steffensen’s inequality,Mercer’s inequality,Integral inequality,Generalizations, sharpening, and refinements of integral inequalities

论文评审过程：Available online 19 March 2007.

论文官网地址：https://doi.org/10.1016/j.amc.2007.03.020