Some inequalities for probability, expectation, and variance of random variables defined over a finite interval
The authors obtain a variety of Ostrowski-type inequalities involving density functions, distribution functions, expectations and variances. Some of the results are derived under various integrability hypotheses made on density functions. Other results are obtained through an application of the so-called pre-Grüss and pre-Chebyshev inequalities to density functions.
scientific article; zbMATH DE number 1781481