Daras, Nicholas J. Integral representations for Padé-type operators. (English) Zbl 1023.41012 J. Appl. Math. 2, No. 2, 51-69 (2002). 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. Reviewer: Francisco Perez Acosta (La Laguna) MSC: 41A21 Padé approximation 30E05 Moment problems and interpolation problems in the complex plane 30E10 Approximation in the complex plane Keywords:Padé type operators; integral operators; interpolation; convergence PDF BibTeX XML Cite \textit{N. J. Daras}, J. Appl. Math. 2, No. 2, 51--69 (2002; Zbl 1023.41012) Full Text: DOI EuDML OpenURL