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On a generalization of Jackson’s theorem for best approximation. (English) Zbl 0266.41013


MSC:

41A50 Best approximation, Chebyshev systems
41A25 Rate of convergence, degree of approximation
42A10 Trigonometric approximation
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References:

[1] Sendov, Bl, Several questions on the theory of continuous functions and polynomials in a Hausdorff metric, Uspehi Math. Nauk, 24, 141-178 (1969) · Zbl 1097.30002
[2] Sendov, Bl, Approximation of functions with algebraic polynomials with respect to a metric of Hausdorff type, Godišnik Sofia University, Fiz.-Math. Facs, 55, 1-39 (1962) · Zbl 1031.30004
[3] V. A. PopovDokl. Bulgarian Acad. Sc.; V. A. PopovDokl. Bulgarian Acad. Sc.
[4] Natahson, I. P., Constructive theory of functions (1949), Moscow
[5] Nikol’ski, S. M., Continuous Functions of Many Variables, and Enclosure Theorems (1969), Nauka: Nauka Moscow
[6] Achiezer, N. I., Lectures on approximation theory (1965), Nauka: Nauka Moscow
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