Grüss's inequality, its probabilistic interpretation, and a sharper bound

Ričardas Zitikis
2009 Journal of Mathematical Inequalities  
Motivated by statistical and actuarial applications of Grüss's inequality, we argue that the inequality can be sharpened if there is additional information about the mean values of the two functions in Grüss's inequality. In this sense, our research deviates from a large body of literature where Grüss's inequality has been sharpened by imposing more smoothness on the functions. (2000) : 26D15, 60E15. Mathematics subject classification
doi:10.7153/jmi-03-02 fatcat:svavb7qv3zda7bab5negmtews4