Open Journal of Mathematical Analysis
Vol. 7 (2023), Issue 2, pp. 8 – 20
ISSN: 2616-8111 (Online) 2616-8103 (Print)
DOI: 10.30538/psrp-oma2023.0127

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

Rana Muhammad Kashif Iqbal\(^{1,2,*}\), Ather Qayyum\(^{2}\), Tayyaba Nashaiman Atta\(^{2}\), Muhammad Moiz Basheer\(^{2}\), Ghulam Shabbir\(^{3}\)
\(^{1}\)Department of Mathematics, Institute of Southern Punjab, Multan Pakistan.
\(^{2}\)Department of Mathematics, Institute of Southern Punjab, Multan Pakistan.
\(^{3}\)Department of Mathematics, University of Agriculture Faisalabad, Pakistan.

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