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Best approximation to functions with restricted derivatives. (English) Zbl 0362.41012

MSC:
41A50 Best approximation, Chebyshev systems
26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable
41A10 Approximation by polynomials
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References:
[1] {\scE. Kimchi and D. Leviatan}, On restricted best approximation to functions with restricted derivatives, J. Approximation Theory, to appear. · Zbl 0319.41028
[2] Malozemov, V.N, Joint approximation of a function and its derivatives by algebraic polynomials, Soviet math. dokl., 7, 1274-1276, (1966) · Zbl 0176.34903
[3] Roulier, J.A, Polynomials of best approximation which are monotone, J. approximation theory, 9, 212-217, (1973) · Zbl 0271.41019
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