Regularity of some 'incomplete' Ṕl-type interpolation problems

Authors:
Marcel G. de Bruin
Affiliations:
Department of Applied Mathematical Analysis, Faculty of Information Technology and Systems, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands
Venue:
Journal of Computational and Applied Mathematics
Year:
2002

Citing 1
Cited 5

Applied and computational complex analysis. Vol. 3: discrete Fourier analysis—Cauchy integrals—construction of conformal maps---univalent functions

Applied and computational complex analysis. Vol. 3: discrete Fourier analysis—Cauchy integrals—construction of conformal maps---univalent functions

Pál-type interpolation on nonuniformly distributed nodes on the unit circle

Journal of Computational and Applied Mathematics
(0,m) Pál-type interpolation on the Möbius transform of roots of unity

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the seventh international symposium on Orthogonal polynomials, special functions and applications
(0, m) Pál-type interpolation: interchanging value- and derivative-nodes

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the conference on orthogonal functions and related topics held in honor of Olav Njåstad
(0,m) Pál-type interpolation on the Möbius transform of roots of unity

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the seventh international symposium on Orthogonal polynomials, special functions and applications
(0,m) Pál-type interpolation: interchanging value- and derivative-nodes

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the conference on orthogonal functions and related topics held in honor of Olav Njåstad

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Abstract

In this paper the regularity of nine Pál-type interpolation problems is proved. In the literature interpolation on the zeros of the pair wn(α)(z) = (z + α)n + (1 + αz)n, vn(α)(z) = (z + α)n - (1 + αz)n with 0