A Class of Integration Formulas

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A Class of Integration Formulas

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Journal of the ACM (JACM) archive
Volume 13 , Issue 3 (July 1966) table of contents

Pages: 430 - 438

Year of Publication: 1966

ISSN:0004-5411

Authors

R. W. Hamming	Bell Telephone Laboratories, Inc., Murray Hill, New Jersey
R. S. Pinkham	Stevens Institute of Technology, Hoboken, N. J. and Bell Telephone Laboratories, Inc., Murray Hill, New Jersey

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ACM New York, NY, USA

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ABSTRACT

Gregory's formula for numerically integrating a function is one of the most promising formulas for use in a computer library. This paper shows how Gregory's formula can be generalized, and examines special cases which have a number of very favorable properties for library use.

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	CommIE, L.J. Chamber's Six Figure Mathematical Tables. W. and R. Chambers, London, England, 1949, p. 548.
	2	GaEGORr, J. Letter, Gregory to Collins, 23 Nov. 1670. Rigaud's Correspondence 2, p. 209.
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	11	WIITAKEa, E., AND ROBINSO, G. The Calculus of Observations. 4th ed. Blaekie & Son, Glasgow, 1944, p. 147.