THE MEAN VALUE THEOREMS AND INEQUALITIES OF OSTROWSKI TYPE
ANA MARIA ACU(1), ALINA BABOŞ(2), FLORIN SOFONEA(3)
1. Lucian Blaga University of Sibiu, "Nicolae Balcescu" Land Forces Academy, Department of Mathematics, Sibiu, Romania, Str. Dr. I. Ratiu, No.5-7, RO-550012 Sibiu, Romania e-mail: acuana77@yahoo.com
2. "Nicolae Balcescu" Land Forces Academy,Sibiu,Romania, e-mail: alina_babos_24@yahoo.com
3. Lucian Blaga University of Sibiu, "Nicolae Balcescu" Land Forces Academy,
Department of Mathematics, Sibiu, Romania, Str. Dr. I. Ratiu, No.5-7, RO-550012 Sibiu, Romania, e-mail: sofoneaflorin@yahoo.com
Abstract
The main purpose of this paper is to derive new inequalities of Ostrowski type using mean value theorems. The inequalities for p-norm are also given and the weighted case is considered. New estimations of the remainder term in quadrature formulas are obtained.