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Best uniform approximation of differentiable functions by algebraic polynomials. (English) Zbl 0506.41025
MSC:
41A50 Best approximation, Chebyshev systems
41A10 Approximation by polynomials
42A10 Trigonometric approximation
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References:
[1] N. P. Korneichuk, ?Extreme values of functionals and best approximation in classes of periodic functions,? Izv. Akad. Nauk SSSR, Ser. Mat.,35, 93-124 (1971).
[2] N. P. Korneichuk, ?Methods of investigating extremal problems in the theory of best approximation,? Usp. Mat. Nauk,29, No. 3, 9-42 (1974).
[3] S. N. Bernshtein, ?Limit relations among constants in the theory of best approximation,? in: Collected Works [in Russian], Vol. 2, Moscow (1952), pp. 413-415.
[4] A. I. Polovina, ?Approximation of functions, defined on an interval, by algebraic polynomials,? in: First Republican Mathematical Conference of Young Investigators, No. 2, Kiev (1965), pp. 560-569.
[5] A. I. Polovina, ?Best uniform approximation of differentiable functions by algebraic polynomials,? Izv. Vyssh. Uchebn. Zaved., No. 12, 76-82 (1969). · Zbl 0202.34601
[6] A. A. Zakharov, ?Asymptotic behavior of Lebesgue functions of linear means of interpolational processes,? Mat. Sb.,75, No. 3, 335-348 (1968). · Zbl 0183.06101
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