Generalization of weighted Ostrowski inequality with applications in numerical integration

Nazia Irshad, Asif R. Khan, Muhammad Awais Shaikh

Abstract

An integral inequality of Ostrowski type with weights is established for differentiable functions up to second order, whose second derivatives are bounded and first derivatives are absolutely continuous. The inequality of weighted integral is then functional to weighted composite quadrature rules.

How to Cite this Article

Nazia Irshad, Asif R. Khan, Muhammad Awais Shaikh, Generalization of weighted Ostrowski inequality with applications in numerical integration, Adv. Inequal. Appl., 2019 (2019), Article ID 7. https://doi.org/10.28919/aia/3998

Copyright © 2019 Nazia Irshad, Asif R. Khan, Muhammad Awais Shaikh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.