NEW ERROR ESTIMATIONS FOR THE MILNE’S QUADRATURE FORMULA IN TERMS OF AT MOST FIRST DERIVATIVES

Year 2013, Volume: 1 Issue: 1, 17 - 23, 01.06.2013

Mohammad Alomari ZhengLiu

https://izlik.org/JA97NH92DX

Abstract

Error estimations for the Milne’s rule for mappings of boundedvariation and for absolutely continuous mappings whose first derivatives arebelong to Lp[a, b] (1 < p ≤ ∞), are established. Some numerical applicationsare provided

Keywords

Milne’s rule , Simpson’s rule , Newton–Cotes formulae

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• 1Department of Mathematics, Faculty of Science, Jerash University, 26150 Jerash, Jordan
• E-mail address: [e-mail] 2
• Institute of Applied Mathematics, School of Science, University of Science and Technology, Liaoning Anshan 114051, Liaoning, China.
• E-mail address: [e-mail]