Bulletin of the American Mathematical Society

MathSciNet review: 1567461
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Book Information:

Authors: 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.

J. Balázs and P. Turán, Notes on interpolation. II. Explicit formulae, Acta Math. Acad. Sci. Hungar. 8 (1957), 201–215. MR 88590, DOI 10.1007/BF02025243

George David Birkhoff, General mean value and remainder theorems with applications to mechanical differentiation and quadrature, Trans. Amer. Math. Soc. 7 (1906), no. 1, 107–136. MR 1500736, DOI 10.1090/S0002-9947-1906-1500736-1

B. L. Chalmers and G. D. Taylor, Uniform approximation with constraints, Jahresber. Deutsch. Math.-Verein. 81 (1978/79), no. 2, 49–86. MR 535098

E. W. Cheney, Introduction to approximation theory, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0222517

Philip J. Davis, Interpolation and approximation, Blaisdell Publishing Co. [Ginn and Co.], New York-Toronto-London, 1963. MR 0157156

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.

I. J. Schoenberg, On Hermite-Birkhoff interpolation, J. Math. Anal. Appl. 16 (1966), 538–543. MR 203307, DOI 10.1016/0022-247X(66)90160-0

J. F. Steffensen, Interpolation, Chelsea Publishing Co., New York, N. Y., 1950. 2d ed. MR 0036799

J. Surányi and P. Turán, Notes on interpolation. I. On some interpolatorical properties of the ultraspherical polynomials, Acta Math. Acad. Sci. Hungar. 6 (1955), 67–80 (English, with Russian summary). MR 71569, DOI 10.1007/BF02021268

J. L. Walsh, Interpolation and approximation by rational functions in the complex domain, 3rd ed., American Mathematical Society Colloquium Publications, Vol. XX, American Mathematical Society, Providence, R.I., 1960. MR 0218587

J. M. Whittaker, Interpolatory function theory, Cambridge Tracts in Mathematics and Mathematical Physics, No. 33, Stechert-Hafner, Inc., New York, 1964. MR 0185330

1.

J. Balazs and P. Turán, Notes on interpolation. II, Acta Math. Acad. Sci. Hungar. 8 (1957), 201-215. MR 0088590

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