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Algebraic-polynomial approximation of functions satisfying a Lipschitz condition. (English) Zbl 0226.41002

MSC:
41A10 Approximation by polynomials
41A15 Spline approximation
41A25 Rate of convergence, degree of approximation
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References:
[1] S. M. Nikol’skii, ?The best approximation of functions satisfying a Lipschitz condition,? Izv. Akad. Nauk SSSR, Ser. Matem.,10, 295-318 (1946).
[2] N. P. Korneichuk, ?Best uniform approximations to certain classes of continuous functions,? Dokl. Akad. Nauk SSSR,140, 748-751 (1961).
[3] O. I. Polovina, ?Best approximations of continuous functions on [?1, 1],? Dopovidi Akad. Nauk UkrSSR, No. 6, 722-725 (1964). · Zbl 0132.29103
[4] N. P. Korneichuk and A. I. Polovina, ?Approximation of continuous and differentiable functions by algebraic polynomials on an interval,? Dokl. Akad. Nauk SSSR,166, 281-283 (1966).
[5] N. P. Korneichuk, ?Best approximation of continuous functions,? Izv. Akad. Nauk SSSR, Ser. Matem.,27, 29-44 (1963).
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