O‘zbekiston matematika jurnali 69-jild 4-son (2025) · 194-200-betlar
Optimal quadrature formulas in the Sobolev space of complex-valued functions
Shadimetov, Kh. M., Tursunmurodov, S.T.
Annotatsiya
In this work, the extremal function of the error functional in the Sobolev space of complex-valued functions is derived. Using the obtained extremal function, the squared norm of the error functional of quadrature formulas is computed. By minimizing the squared norm of the error functional with respect to the coefficients of the quadrature formulas, a system is derived for determining the optimal coefficients of the considered quadrature formula in the Sobolev space. In addition, an analogue of I. Babu\v{s}ka's theorem is proved.
Extremal function, error functional, Sobolev space, quadrature formula, optimal coefficient
Metadata manbasi: jurnal OAI-PMH arxivi · Sindex toʻliq matnni saqlamaydi, manbaga havola beradi.