Companion of Ostrowski-type inequality based on 5-step quadratic kernel and applications

Volume 9, Issue 2, pp 537--552 http://dx.doi.org/10.22436/jnsa.009.02.19

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Authors

Ather Qayyum - Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, 32610 Bandar Seri Iskandar, Perak Darul Ridzuan, Malaysia. Muhammad Shoaib - Abu Dhabi Mens College, Higher Colleges of Technology, P. O. Box 25035, Abu Dhabi, United Arab Emirates. Ibrahima Faye - Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, 32610 Bandar Seri Iskandar, Perak Darul Ridzuan, Malaysia.

Abstract

The purpose of this paper is to establish an improved version of companion of Ostrowski's type integral inequalities. The inequalities are obtained by using a newly developed special type of five steps quadratic kernel. The introduction of this new Kernel gives some new error bounds for various quadrature rules. Applications for composite quadrature rules and Cumulative Distributive Functions are considered.

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Keywords

• Ostrowski inequality
• numerical integration
• composite quadrature rule
• cumulative distributive function.

MSC

•  26D15
•  26D20
•  26D99

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