Extension of Ostrowki type inequality via moment generating function

Nazia Irshad, Asif R. Khan, Aamna Nazir

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.

Full Text: PDF

Published: 2020-01-21

How to Cite this Article:

Nazia Irshad, Asif R. Khan, Aamna Nazir, Extension of Ostrowki type inequality via moment generating function, Adv. Inequal. Appl., 2020 (2020), Article ID 2

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.

Advances in Inequalities and Applications

ISSN 2050-7461

Editorial Office: office@scik.org

Copyright ©2020 SCIK Publishing Corporation