ESTIMATES FOR FUNCTIONALS WITH A KNOWN FINITE SET OF MOMENTS IN TERMS OF DEVIATIONS OF OPERATORS CONSTRUCTED WITH THE USE OF THE STEKLOV AVERAGES AND FINITE DIFFERENCES

摘要

A new technique for deriving estimates indicated in the title is presented. This technique allows one, in particular, to establish Jackson type inequalities for moduli of continuity of arbitrary order with relatively small constants. The results obtained hold in different spaces of periodic and nonperiodic functions. Bibliography: 13 titles.