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Best piecewise polynomial approximation. (English) Zbl 0333.41006


MSC:

41A10 Approximation by polynomials
41A50 Best approximation, Chebyshev systems
41A15 Spline approximation

Citations:

Zbl 0328.41006
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Full Text: DOI

References:

[1] E. Ya. Remez, General Computational Methods of Chebyshev Approximation [in Russian], Izd. AN UkrSSR, Kiev (1957).
[2] J. H. Ahlberg, E. N. Nilson, and J. L. Walsh, The Theory of Splines and Their Applications, Academic Press, New York (1967). · Zbl 0158.15901
[3] L. L. Schumaker, ?Approximation by splines,? in: Theory and Applications of Spline Functions, T. N. E. Greville, (editor), Academic Press, New York-London (1969). · Zbl 0187.32802
[4] A. Kh. Turetskii, Theory of Interpolation in Problem Form [in Russian], Vyshéishaya Shkola, Minsk (1968). · Zbl 1236.41005
[5] S. N. Bernshtein, Extremal Properties of Polynomial [in Russian], ONTI, Leningrad-Moscow (1937).
[6] V. F. Dem’yanov and V. N. Malozemov, Introduction to Minimax [in Russian], Nauka, Moscow (1972).
[7] V. N. Malozemov, ?On the deviation of broken lines,? Vestnik Leningrad. Univ., No. 7, 150-153 (1966).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.