Algorithm for finding the norm of the error functional of Hermite-type interpolation formulas in the Sobolev space of periodic functions.

S.L. Sobolev [1] firstly posed the problem of finding an extremal function for an interpolation formula and calculating the norm of the error functional in the space W 2 m . In this paper, an extremal function of the interpolation formula was found in explicit form in the Sobolev space W 2 m , functions for which the generalized derivatives of order m are square integrable. In the present paper, we consider the problem of finding the norm of the error functional for interposional formulas of Hermite type in the space of S.L. Sobolev W ˜ 2 (m) (T₁). [ABSTRACT FROM AUTHOR]