Global Journal of Pure and Applied Mathematics
  • Year: 2006
  • Volume: 2
  • Issue: 2

Weighted Ostrowski-Grüss Type Inequality for Differentiable Mappings

  • Author:
  • Farooq Ahmad1, Arif Rafiq2,, Nazir Mir Ahmad2,
  • Total Page Count: 8
  • Page Number: 147 to 154

1Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan. E-mail: farooqgujar@gmail.com

2Mathematics Department, COMSATS Institute of Information Technology, Plot # 30, Sector H-8/1, Islamabad 44000, Pakistan.

*E-mail: arafiq@comsats.edu.pk

**E-mail: namir@comsats.edu.pk

AMS Subject Classification: Primary 65D30; Secondary 65D32.

Abstract

We establish weighted Ostrowski-Grüss type inequality for differentiable mappings in terms of the upper and lower bounds of first derivative. The inequality is then applied to numerical integration.

Keywords

Ostrowski inequality, Grüss inequality