THE GENERALIZED CEBYSEV TYPE INEQUALITY

ARIF RAFIQ(1), QAISER SHAHBAZ(1), ANA MARIA ACU(2)

1. COMSATS Institute of Information Technology, Department of Mathematics Defense Road, Off Raiwind Road, Lahore - Pakistan, e-mail: arafiq@comsats.edu.pk, shahbaz@gmail.com
2. University "Lucian Blaga" of Sibiu, Department of Mathematics, Str. Dr. I. Raţiu, No. 5-7, 550012 - Sibiu, Romania, e-mail: acuana77@yahoo.com

Abstract

A generalization of Pecaric's extension to the Montgomery's identity has been derived. The generalization is applicable for any weight functions. The generalized Cebysev type inequality has also been obtained.

Keywords

Absolutely continuos functions Peano kernel Montgomery identity Weight function Cebysev inequality