Interpolation and Approximation by Rational Functions in the Complex Domain

J. L. Walsh

ISBN 10: 0821810200 / ISBN 13: 9780821810200

Edité par American Mathematical Society Jul 1935, 1935

A propos de cet article

Neuware - Presents functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned.

N° de réf. du vendeur 9780821810200

Détails bibliographiques

• Titre: Interpolation and Approximation by Rational Functions in the Complex Domain
• Éditeur: American Mathematical Society Jul 1935
• Date de parution: 1935
• Langue: anglais
• ISBN à 10 chiffres: 0821810200
• ISBN à 13 chiffres: 9780821810200
• Reliure: Taschenbuch
• Édition: 3ème Édition
• État de l'article: Neu

A propos de ce titre

Synopsis

The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation), Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series - the title ""Generalizations of Taylor's Series"" would be appropriate.