Jackson-Type Inequalities in the Spaces $S^{(p,q)}(\sigma^{m-1})$

In the case of approximation of functions by using linear methods of summation of their Fourier–Laplace series in the spaces $S^{(p,q)}(\sigma^{m-1})$, $m\ge 3$, 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.