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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2019 (2019), Article ID 7

Generalization of weighted Ostrowski inequality with applications in numerical integration

Nazia Irshad, Asif R. Khan, Muhammad Awais Shaikh

PDF (161.5 KB) https://doi.org/10.28919/aia/3998

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.

Published
23 April 2019
Volume
2019 (2019)
License
CC BY 3.0

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.

Cite this article

N. Irshad, A. R. Khan, M. A. Shaikh, Generalization of weighted Ostrowski inequality with applications in numerical integration, Adv. Inequal. Appl. 2019 (2019), 7. https://doi.org/10.28919/aia/3998

BibTeX
@article{Irshad2019,
  author  = {Irshad, Nazia and Khan, Asif R. and Shaikh, Muhammad Awais},
  title   = {Generalization of weighted Ostrowski inequality with applications in numerical integration},
  journal = {Adv. Inequal. Appl.},
  volume  = {2019},
  year    = {2019},
  pages   = {7},
  doi     = {10.28919/aia/3998}
}