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Verfürth, Rüdiger

On the number of local best approximations by exponential sums. (English) Zbl 0487.41032

J. Approximation Theory 34, 306-323 (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0487.41032

MSC:

41A50 Best approximation, Chebyshev systems
41A30 Approximation by other special function classes
11L03 Trigonometric and exponential sums (general theory)

Keywords:

exponential sums; number of local best approximations; uniform approximation of continuous functions

Citations:

Zbl 0399.41019
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Full Text: DOI

References:

[1] Braess, D., Über die Approximation mit Exponentialsummen, Computing, 2, 309-321 (1967) · Zbl 0155.39202
[2] Braess, D., Chebyshev approximation by γ-polynomials, J. Approx. Theory, 9, 20-43 (1973) · Zbl 0235.41007
[3] Braess, D., Chebyshev approximation by γ-polynomials, II, J. Approx. Theory, 11, 16-37 (1974) · Zbl 0235.41008
[4] Braess, D., On the number of best approximations in certain non-linear families of functions, Aequationes Math., 12, 184-199 (1975) · Zbl 0304.41014
[5] Braess, D., On rational \(L_2\)-approximation, J. Approx. Theory, 18, 136-151 (1976) · Zbl 0335.41008
[6] Braess, D., Chebyshev approximation by γ-polynomials. III. On the number of best approximations, J. Approx. Theory, 24, 119-145 (1978) · Zbl 0399.41019
[7] De Boor, C., On the approximation by γ-polynomials, (Schoenberg, I. J., Approximations with Special Emphasis on Spline Functions (1969), Academic Press: Academic Press New York/London), 157-183 · Zbl 0273.41014
[8] Schmidt, E., Zur Kompaktheit bei Exponentialsummen, J. Approx. Theory, 3, 445-454 (1970) · Zbl 0212.09103
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