Approximation by Szasz-Kantorovich type operators associated with \(\mathrm{d}\)-symmetric \(\mathrm{d}\)-orthogonal polynomials of Brenke type
The study of convergence rate of the considered operators using the Peetre's K-functional and the modulus of smoothness has been done. Furthermore, an estimation of the speed of convergences for some special classes of functions, namely, the Lipschitz-type class of functions has been provided. The Voronovskaja-type theorem is also proved.
scientific article; zbMATH DE number 7928421
scientific article