Title: Generalisation of Ostrowski's type inequalities by using multi-step quadratic kernel

Authors: Tasawar Abbas; Muhammad Mohsin Saleem Kamboh; Muhammad Sultan; Hafiz Muhammad Waseem Anwar; Ather Qayyum

Addresses: Department of Mathematics, Institute of Southern Punjab, Multan, Pakistan ' Department of Mathematics, Institute of Southern Punjab, Multan, Pakistan ' Department of Mathematics, Institute of Southern Punjab, Multan, Pakistan ' Department of Mathematics, Institute of Southern Punjab, Multan, Pakistan ' Department of Mathematics, Institute of Southern Punjab, Multan, Pakistan

Abstract: The purpose of this paper is to provide a better version of Ostrowski's type integral inequalities. The inequalities are obtained by using a newly developed special type of nine-step quadratic kernel. The introduction of this new kernel gives some new error bounds for various quadrature rules. Applications for composite quadrature rules are also considered.

Keywords: Ostrowski inequality; numerical integration; composite quadrature rule; cumulative distributive function.

DOI: 10.1504/IJANS.2023.133724

International Journal of Applied Nonlinear Science, 2023 Vol.4 No.1, pp.12 - 28

Received: 18 Jul 2022
Accepted: 16 Nov 2022
Published online: 02 Oct 2023 *

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