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On weight functions for Chebyshev quadrature. (English) Zbl 0288.65011


MSC:

65D30 Numerical integration
41A50 Best approximation, Chebyshev systems
41A55 Approximate quadratures
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References:

[1] Karlin, S., Shapley, L. S.: Geometry of moment spaces. Memoirs of the AMS, No. 12, American Mathematical Society, Providence, R.I., 1953 · Zbl 0052.18501
[2] Karlin, S., Studden, W. J.: Tchebycheff systems: With applications in analysis and statistics. New York: Interscience 1966 · Zbl 0153.38902
[3] Selberg, A.: Bemerkninger om et multiplet integral. Norsk. Mat. Tidsskr.24, 71-78 (1944) · Zbl 0063.06870
[4] Ullman, J. L.: A class of weight functions that admit Tchebycheff quadrature. Michigan Math. J.13, 417-423 (1966) · Zbl 0152.25401 · doi:10.1307/mmj/1028999599
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