GRÜSS AND OSTROWSKI TYPE INEQUALITIES AND THEIR APPLICATIONS

  • ANA MARIA ACU
    "Lucian Blaga" University of Sibiu, Department of Mathematics and Informatics, 5 - 7 Dr. Ion Ratiu Street, Sibiu, 550012, Romania
    acuana77@yahoo.com
  • FLORIN SOFONEA
    "Lucian Blaga" University of Sibiu, Department of Mathematics and Informatics, 5 - 7 Dr. Ion Ratiu Street, Sibiu, 550012, Romania
    sofoneaflorin@yahoo.com
  • CARMEN VIOLETA MURARU
    “Vasile Alecsandri" University of Bacău, Faculty of Sciences, Department of Mathematics, Informatics and Educational Sciences, Calea Mărăşeşti 157, Bacău 600115, Romania
    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.

Cuvinte cheie

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