Jackson-type inequalities in the spaces \(S^{(p,q)} (\sigma^{m -1})\) (Q2334909)

In the case of approximation functions by using 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.