THE GENERALIZED CEBYSEV TYPE INEQUALITY

  • ARIF RAFIQ
    COMSATS Institute of Information Technology, Department of Mathematics Defense Road, Off Raiwind Road, Lahore - Pakistan
    arafiq@comsats.edu.pk
  • QAISER SHAHBAZ
    COMSATS Institute of Information Technology, Department of Mathematics Defense Road, Off Raiwind Road, Lahore - Pakistan
    shahbaz@gmail.com
  • ANA MARIA ACU
    University "Lucian Blaga" of Sibiu, Department of Mathematics, Str. Dr. I. Raţiu, No. 5-7, 550012 - Sibiu, Romania
    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.

Cuvinte cheie

Absolutely continuos functions Peano kernel Montgomery identity Weight function Cebysev inequality