Generalization of weighted Ostrowski integral inequality for twice differentiable mappings

Muhammad Imtiaz, Nazia Irshad, Asif R. Khan

Abstract


We introduce a general form of weighted integral inequality of Ostrowski type for twice differentiable mappings whose second derivatives are bounded and first derivatives are absolutely continuous. The weighted integral inequality gives us generalized result of different bounds. The weighted integral inequality is then applied to some quadrature rules in generalized way.

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Published: 2016-10-28

How to Cite this Article:

Muhammad Imtiaz, Nazia Irshad, Asif R. Khan, Generalization of weighted Ostrowski integral inequality for twice differentiable mappings, Advances in Inequalities and Applications, Vol 2016 (2016), Article ID 20

Copyright © 2016 Muhammad Imtiaz, Nazia Irshad, Asif R. Khan. 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.

Advances in Inequalities and Applications

ISSN 2050-7461

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