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Sidi, Avram

On the approximation of square-integrable functions by exponential series. (English) Zbl 0325.41017

J. Comput. Appl. Math. 1, 229-234 (1975).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0325.41017

Cited in 2 Documents

MSC:

41A30 Approximation by other special function classes
41A50 Best approximation, Chebyshev systems
44A10 Laplace transform
65D30 Numerical integration
65D15 Algorithms for approximation of functions
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Full Text: DOI

References:

[1] Longman, I. M., Best rational function approximation for Laplace transform inversion, SIAM J. Math. Anal., 5, 574-580 (1974) · Zbl 0253.44002
[2] Longman, I. M., Application of best rational function approximation for Laplace transform inversion, Journal of Computational and Applied Mathematics, 1, 17-23 (1975) · Zbl 0303.65105
[3] Lanczos, C., Applied Analysis, ((1956), Prentice-Hall, Inc.: Prentice-Hall, Inc. Englewood Cliffs, N.J.), 285 · Zbl 0111.12403
[4] Sansone, G., Orthogonal functions, (Pure and Applied Mathematics, Vol. IX (1959), Interscience Publishers: Interscience Publishers New York), 192 · Zbl 0084.06106
[5] Doetsch, G., Guide to the applications of the Laplace and Z-transforms, ((1971), Van Nostrand Reinhold Company: Van Nostrand Reinhold Company London), 30
[6] Walsh, J. L., Interpolation and approximation, ((1956), American Mathematical Society), 357
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