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Book Review
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Book Information
Author(s):
G. G. Lorentz, K. Jetter and S. D. Riemenschneider
Title:
Birkhoff interpolation
Additional book information:
Encyclopedia of Mathematics and its Applications, vol. 19, Addison-Wesley, Reading, Mass., 1982, lv + 237 pp., $32.50. ISBN 0-2011-3518-3
References:
- 1.
- J. Balazs and P. Turán, Notes on interpolation. II, Acta Math. Acad. Sci. Hungar. 8 (1957), 201-215. MR 88590
- 2.
- G. D. Birkhoff, General mean value and remainder theorems with applications to mechanical differentiation and quadrature, Trans. Amer. Math. Soc. 7 (1906), 107-136. MR 1500736
- 3.
- B. L. Chalmers and G. D. Taylor, Uniform approximation with constraints, Jber. Deutsch. Math.-Verein. 81 (1978/79), 49-86. MR 535098
- 4.
- E. W. Cheney, Introduction to approximation theory, McGraw-Hill, New York, 1966. MR 222517
- 5.
- P. J. Davis, Interpolation and approximation, Blaisdell, New York, 1963. MR 157156
- 6.
- I. P. Natanson, Constructive function theory, vol. III, Ungar, New York, 1965.
- 7.
- G. Pólya, Bemerkung zur Interpolation und zur Naherungstheorie der Balkenbiegung, Z. Angew. Math. Mech. 11 (1931), 445-449.
- 8.
- I. J. Schoenberg, On Hermite-Birkhoff interpolation, J. Math. Anal. Appl. 16 (1966), 538-543. MR 203307
- 9.
- J. F. Steffensen, Interpolation, 2nd ed., Chelsea, New York, 1950. MR 36799
- 10.
- J. Suranyi and P. Turán, Notes on interpolation. I, Acta Math. Acad. Sci. Hungar. 6 (1955), 67-80. MR 71569
- 11.
- J. L. Walsh, Interpolation and approximation by rational functions in the complex domain, 5th ed., Amer. Math. Soc. Colloq. Publ., no. 20, Amer. Math. Soc., Providence, R.I., 1969. MR 218588
- 12.
- J. M. Whittaker, Interpolatory function theory, Stechert-Hafner, New York, 1964. MR 185330
Additional Information:
Reviewer(s):
Eli
Passow
Review Information:
Journal:
Bull. Amer. Math. Soc.
9
(1983),
348-351.
DOI:
10.1090/S0273-0979-1983-15204-7
PII:
S 0273-0979(1983)15204-7
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