Coefficients of the weighting optimal quadrature formula in the Sobolev space

Authors

DOI:

https://doi.org/10.56143/w7647p48

Keywords:

optimal quadrature formula, extremal function, optimal coefficients, the error of the quadrature formula, the error functional, oscillating function

Abstract

In this paper, an optimal quadrature with weight in the Sobolev space is constructed for . The optimal
coefficients of the constructed weight quadrature formula were found in the form of an analytical formula
using the Sobolev method.

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Published

2026-01-27