On some approximation properties of Gauss-Weierstrass singular operators

摘要

Approximation theorems were formulated for function continuous in the neighborhood of some point x, -∞< x < ∞. Namely, the upper bounds were obtained for the function approximations by their Gauss-Weierstrass singular operators in terms of a majorant function for the first- and second-order continuity moduli of the relevant functions.