THE MEAN VALUE THEOREMS AND INEQUALITIES OF OSTROWSKI TYPE

  • ANA MARIA ACU
    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
    acuana77@yahoo.com
  • ALINA BABOŞ
    "Nicolae Balcescu" Land Forces Academy,Sibiu,Romania
    alina_babos_24@yahoo.com
  • FLORIN SOFONEA
    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
    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.

Cuvinte cheie

Ostrowski inequality p-norm Mean value theorem