Optimal quadrature formulas of closed type in the space L₂^(m)(0,1)

2010/05/02 by Kh. M. Shadimetov, Shadimetov, Kh. M. · 1 citation
Engineering · Mathematics · #65D32 #Aerospace Engineering and Control Systems #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1005.0163

openalex publication_date 2010/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is discussed the problem on construction of optimal quadrature formulas in the sense of Sard in the space L₂^(m)(0,1), when the nodes of quadrature formulas are equally spaced. Here the representations of optimal coefficients for any natural numbers m and N are found.

Cited by

• Optimal quadrature formulas with derivatives in Sobolev space

Related

• Optimal Quadrature Formulas in the Sense of Sard in W₂^(m,m-1) Space
• Optimal Quadrature Formulas with Positive Coefficients in L₂^(m)(0,1) Space
• Calculation of Coefficients of the Optimal Quadrature Formulas in the W₂^m,m-1(0,1) Space
• Optimal quadrature formulas with derivatives in Sobolev space
• On an optimal quadrature formula in Sobolev space L₂^(m) (0,1)