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THE MEAN VALUE THEOREMS AND INEQUALITIES OF OSTROWSKI TYPE


ANA MARIA ACU 1, ALINA BABOƞ 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

Issue:

SSRSMI, Number 1, Volume XXI

Section:

Volume 21, Number 1

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.

Keywords:

Ostrowski inequality, p-norm, Mean value theorem.

Code [ID]:

SSRSMI201101V21S01A0001 [0003403]

Full paper:

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