THE MEAN VALUE THEOREMS AND INEQUALITIES OF OSTROWSKI TYPE
ANA MARIA ACU 1, ALINA BABOĆ 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
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.