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

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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17. 1Department of Mathematics, Faculty of Science, Jerash University, 26150 Jerash, Jordan
18. E-mail address: [e-mail] 2
19. Institute of Applied Mathematics, School of Science, University of Science and Technology, Liaoning Anshan 114051, Liaoning, China.
20. E-mail address: [e-mail]