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ISSN: 1558-6359 (Online)
Research Article Open Access

Double Weighted Integrals Identities of Montgomery for Differentiable Function of Higher Order

Asif R. Khan1 and Faraz Mehmood2
  • 1 University of Karachi, Pakistan
  • 2 Dawood University of Engineering and Technology, Pakistan

Abstract

We provide double weighted integrals identities of Montgomery for differentiable function of higher order for two variables and by help of those identities we get generalization of Ostrowski and Grüss type inequalities for weighted integrals for differentiable functions of higher order for two variables.

Journal of Mathematics and Statistics
Volume 15 No. 1, 2019, 112-121

DOI: https://doi.org/10.3844/jmssp.2019.112.121

Submitted On: 11 November 2018 Published On: 24 June 2019

How to Cite: Khan, A. R. & Mehmood, F. (2019). Double Weighted Integrals Identities of Montgomery for Differentiable Function of Higher Order. Journal of Mathematics and Statistics, 15(1), 112-121. https://doi.org/10.3844/jmssp.2019.112.121

Open AccessCopyright: © 2019 Asif R. Khan and Faraz Mehmood. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Montgomery's Identities
  • Ostrowski Type Inequalities
  • Grüss Type Inequalities