Integral representations for Padé-type operators
The author considers an explicit form of the Padé-type operators. To do this is considered the representation of Padé-type approximants to the Fourier series of the harmonic functions in the open disk and of the \(L^p\)-functions on the circle by means of integral-formulas and then defined the corresponding Padé-type operators. Properties of these integral operators are studied and some convergence results are proved.
scientific article; zbMATH DE number 1780541