Jackson-Type Inequalities in the Spaces S(p,q) (σm−1)

详细

In the case of approximation of functions by using linear methods of summation of their Fourier-Laplace series in the spaces S^(p,q) (σ^m−1), m ≥ 3, for classes of functions defined by transformations of their Fourier-Laplace series using multipliers, Jackson-type inequalities are established in terms of operators which are also defined by the corresponding transformations of the Fourier-Laplace series.