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Interpolation and approximation by rational functions in the complex domain

Author: J L Walsh
Publisher: Providence, R.I. : American Mathematical Society, 1969.
Series: Colloquium publications (American Mathematical Society), v. 20.
Edition/Format:   Print book : English : 5th edView all editions and formats
Summary:
This 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 external properties (i.e. best approximation).
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: J L Walsh
ISBN: 0821810200 9780821810200
OCLC Number: 950945
Description: x, 405 pages : illustrations ; 26 cm.
Contents: Possibility of approximation : analytic functions --
Possibility of approximation, continued --
Interpolation and lemniscates --
Degree of convergence of polynomials : overconvergence --
Best approximation by polynomials --
Orthogonality and least squares --
Interpolation by polynomials --
Interpolation by rational functions --
Approximation by rational functions --
Interpolation and functions analytic in the unit circle --
Approximation with auxiliary conditions and to non-analytic functions --
Existence and uniqueness of rational functions of best approximation --
Appendix.
Series Title: Colloquium publications (American Mathematical Society), v. 20.
Responsibility: J.L. Walsh.

Abstract:

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

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