Optimal Quadrature Formulas in the Sense of Sard in W₂^(m,m-1) Space

2010/10/25 by Kh. M. Shadimetov, Shadimetov, Kh. M., A.R. Hayotov +1
Mathematics · #65D32 #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1010.5172

openalex publication_date 2010/10/25 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper in W₂^(m,m-1)(0,1) space the problem of construction of optimal quadrature formula in the sense of Sard is considered and using S.L. Sobolev's method it is obtained new optimal quadrature formula of such type. For the optimal coefficients explicit formulas are obtained. Furthermore, the numerical results which confirm the theoretical results of this work is given.

Citations

• Calculation of Coefficients of the Optimal Quadrature Formulas in the W₂^m,m-1(0,1) Space

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