Methods for Fitting Rational Approximations, Part I: Telescoping Procedures for Continued Fractions

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Methods for Fitting Rational Approximations, Part I: Telescoping Procedures for Continued Fractions

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Journal of the ACM (JACM) archive
Volume 7 , Issue 2 (April 1960) table of contents

Pages: 150 - 162

Year of Publication: 1960

ISSN:0004-5411

Author

Hans J. Maehly

Syracuse University, Syracuse 10, N.Y. and Princeton University, Princeton, New Jersey

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 1, Downloads (12 Months): 46, Citation Count: 4

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	C. LANCZOS, Trigonometric interpolation of empirical and analytical functions, J. Math. Phys. 17 (1938), 123-199.
	2	C. LANCZOS, Applied Analysis, pp. 457-463 (Prentice Hall, Englewood Cliffs, N.J., 1956).
	3	H. S. WALL, Continued Fractions (Van Nostrand Co., New York, 1948).
	4	O. PERRON, Die Lehre yon den Kettenbr~ichen, vol. 1 (B. G. Teubner, Stuttgart, 1954).
	5	N. I. AKHI~ZER, Lektii po teorii approksimatsii (Leningrad, 1947); English translation: Theory of Approximation (Frederick Ungar Publishing Co., New York, 1956) ; German Translation: Vorlesungen ~iber Approximationstheorie (Akademieverlag, Berlin, 1953).
	6	P. L. CHEBYSnEV, Oeuvres (St. Petersbourg, 1899).
	7	C. WITZGALL (ANn H. J. MAEHLY), Tschebyscheff-Approximationen in kleinen IntervaIIen, to appear in Numerische Mathematik.

CITED BY 4

	Anthony Ralston, On Economization of Rational Functions, Journal of the ACM (JACM), v.10 n.3, p.278-282, July 1963
	Wallace Feurzeig, Putting a Hex on ex, Communications of the ACM, v.4 n.9, p.402-404, Sept. 1961
	Hans J. Maehly, Methods for Fitting Rational Approximations, Parts II and III, Journal of the ACM (JACM), v.10 n.3, p.257-277, July 1963
	Richard J. Mathar, Chebyshev series expansion of inverse polynomials, Journal of Computational and Applied Mathematics, v.196 n.2, p.596-607, 15 November 2006