Interpolation and approximation by rational functions in the complex domain,
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 a...
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I. :
American Mathematical Society,
1969
Providence, American Mathematical Society [1969] |
| Edition: | 5th ed |
| Series: | Colloquium publications (American Mathematical Society) ;
v. 20 Colloquium publications (American Mathematical Society) v. 20 |
| Subjects: |
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| 100 | 1 | |a Walsh, J. L |q (Joseph Leonard), |d 1895-1973 | |
| 100 | 1 | |a Walsh, J. L |q (Joseph Leonard), |d 1895-1973. | |
| 245 | 1 | 0 | |a Interpolation and approximation by rational functions in the complex domain, |c by J.L.Walsh |
| 250 | |a 5th ed | ||
| 250 | |a [5th ed.] | ||
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c 1969 | ||
| 260 | |a Providence, |b American Mathematical Society |c [1969] | ||
| 300 | |a x, 405 pages : |b illustrations ; |c 26 cm | ||
| 300 | |a x,405 p |c 26cm. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society. Colloquium publications, |v v.20 | |
| 490 | 1 | |a Colloquium publications / American Mathematical Society ; |v v. 20 | |
| 500 | |a This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |5 CTY | ||
| 504 | |a Bibliography: p.383-396 | ||
| 504 | |a Includes bibliographical references (pages 383-396) and index | ||
| 505 | 0 | |a 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 | |
| 520 | |a 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) | ||
| 596 | |a 4 | ||
| 650 | 0 | |a Functions | |
| 650 | 0 | |a Interpolation | |
| 650 | 0 | |a Series, Infinite | |
| 650 | 7 | |a Functions |2 fast | |
| 650 | 7 | |a Interpolation |2 fast | |
| 650 | 7 | |a Series, Infinite |2 fast | |
| 830 | 0 | |a Colloquium publications (American Mathematical Society) ; |v v. 20 | |
| 830 | 0 | |a Colloquium publications (American Mathematical Society) |v v. 20 | |
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