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Least squares approximations for dual trigonometric series

Published online by Cambridge University Press:  18 May 2009

Robert B. Kelman
Affiliation:
Colorado State University, Fort Collins, Colorado 80521, U.S.A.
Chester A. Koper Jr
Affiliation:
Colorado State University, Fort Collins, Colorado 80521, U.S.A.
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A systematic and easily automated least squares procedure, not using integral equations or special functions, is presented for approximating the solutions of general dual trigonometric equations. This is desirable, since current analytic methods apply only to special equations, require the use of integral equation and special function theory, and do not lend themselves easily to numerical work; see, e.g. [1, 2, 6, 8, 9,10, 11, 12, 13, 14, 15, 16, 17].

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1973