Some new results of Ostrowski type inequalities using 4-step quadratic kernel and their applications

Author(s): Rana Muhammad Kashif Iqbal1,1, Ather Qayyum1, Tayyaba Nashaiman Atta1, Muhammad Moiz Basheer1, Ghulam Shabbir2
1Department of Mathematics, Institute of Southern Punjab, Multan Pakistan.
2Department of Mathematics, University of Agriculture Faisalabad, Pakistan.
Copyright © Rana Muhammad Kashif Iqbal, Ather Qayyum, Tayyaba Nashaiman Atta, Muhammad Moiz Basheer, Ghulam Shabbir. 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.

Abstract

This work is a generalization of Ostrowski type integral inequalities using
a special 4-step quadratic kernel. Some new and useful results are obtained.
Applications to Quadrature Rules and special Probability distribution are
also evaluated.

Keywords: Coefficient bounds; Fekete-Szego inequalities; \(p\)-valent functions