Optimal coefficients of the quadrature formulas in the space K3,ω

There are several methods for constructing optimal quadrature formulas, such as the spline method, the ϕ-function method, and the Sobolev method, which is based on the use of discrete analogues of differential operators. In this paper, we study the optimization of quadrature formulas in the space of functions that have generalized third-order derivatives that are square summable. Here, the norm of functions is introduced using special parameters. In the space under consideration, using the extremal function of the error functional of quadrature formulas and a discrete analog of the sixth-order differential operator, optimal quadrature formulas will be constructed.

Hali tarjima qilinmagan