Calculation of Coefficients of the Optimal Quadrature Formulas in the $W_2^{m,m-1}(0,1)$ Space

Abstract

In this paper problem of construction of optimal quadrature formulas in $W_2^{(m,m-1)}(0,1)$ space is considered. Here by using Sobolev's algorithm when $m=1,2$ we find the optimal coefficients of the quadrature formulas of the form $$\underset{0}{\overset{1}{\int }}\varphi (x)dx\cong \sum _{\beta =0}^N{C}_{\beta }\varphi (x_{\beta }).$$

17 pages, this paper was published in Uzbek Mathematical Journal, 2004, \No3

Cited by in corpus (1)

• Optimal Quadrature Formulas in the Sense of Sard in $W_2^{(m,m-1)}$ Space