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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2020 (2020), Article ID 2

Extension of Ostrowki type inequality via moment generating function

Nazia Irshad, Asif R. Khan, Aamna Nazir

PDF (154.2 KB) https://doi.org/10.28919/aia/3600

Abstract

In this paper, generalizations of weighted Ostrowski inequality are derived by using moment generating functions in bounded variation, L∞ and Lp spaces. Applications to composite quadrature formulae are developed in which 1/3 Simpson’s, 3/8 Simpson’s, trapezoidal and midpoint inequalities are derived.

Published
21 January 2020
Volume
2020 (2020)
License
CC BY 3.0

Copyright © 2020 Nazia Irshad, Asif R. Khan, Aamna Nazir. 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, A. Nazir, Extension of Ostrowki type inequality via moment generating function, Adv. Inequal. Appl. 2020 (2020), 2. https://doi.org/10.28919/aia/3600

BibTeX
@article{Irshad2020,
  author  = {Irshad, Nazia and Khan, Asif R. and Nazir, Aamna},
  title   = {Extension of Ostrowki type inequality via moment generating function},
  journal = {Adv. Inequal. Appl.},
  volume  = {2020},
  year    = {2020},
  pages   = {2},
  doi     = {10.28919/aia/3600}
}