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Veselinov, V. M.

Weighted approximations by means of entire functions of exponential type. (English) Zbl 0318.41010

Math. Notes 16(1974), 695-700 (1975).
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MSC:

41A30 Approximation by other special function classes
41A50 Best approximation, Chebyshev systems
41A25 Rate of convergence, degree of approximation
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References:

[1] N. I. Akhiezer, Lectures on the Theory of Approximation [in Russian], Moscow (1965).
[2] O. I. Inozemtsev, ?On the theory of best approximation of functions of many variables with the aid of entire functions of finite degree,? Dokl. Akad. Nauk SSSR,91, No. 1, 15-18 (1953).
[3] Bl. Sendov and V. A. Popov, ?On a generalization of Jackson’s theorem for best approximation,? J. Approximation Theory,9, No. 2, 102-111 (1973). · Zbl 0266.41013 · doi:10.1016/0021-9045(73)90098-1
[4] Bl. Sendov, ?Some problems in the theory of approximations of functions and sets in the Hausdorff metric,? Uspekhi Matem. Nauk,24, No. 5, (149), 141-178 (1969). · Zbl 0184.09101
[5] V. M. Veselinov, ?On an extension of the modulus of nonmonotonicity on an infinite interval and approximation of unbounded functions in the Hausdorff metric,? Dokl. Bolg. Akad. Nauk,24, No. 10, 1143-1146 (1971). · Zbl 0246.41020
[6] A. F. Timan, Theory of Approximation of Functions of a Real Variable, Pergamon, New York (1963). · Zbl 0117.29001
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