GRÜSS AND OSTROWSKI TYPE INEQUALITIES AND THEIR APPLICATIONS

ANA MARIA ACU(1), FLORIN SOFONEA(2), CARMEN VIOLETA MURARU(3)

1. "Lucian Blaga" University of Sibiu, Department of Mathematics and Informatics, 5 - 7 Dr. Ion Ratiu Street, Sibiu, 550012, Romania, e-mail: acuana77@yahoo.com,
2 "Lucian Blaga" University of Sibiu, Department of Mathematics and Informatics, 5 - 7 Dr. Ion Ratiu Street, Sibiu, 550012, Romania, sofoneaflorin@yahoo.com
3 “Vasile Alecsandri" University of Bacău, Faculty of Sciences, Department of Mathe-matics, Informatics and Educational Sciences, Calea Mărăşeşti 157, Bacău 600115, Ro-mania, e-mail: carmen 7419@yahoo.com

Abstract

We establish new inequalities for the cumulative distribution function, the incomplete special function, the expectation, the variance and the k-th order moments.

Keywords

Grüss inequality Ostrowski inequality Probability density function Cumulative distribution function Variance Expectation Moments
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