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Best polynomial approximation to certain entire functions. (English) Zbl 0225.41006

MSC:
41A50Best approximation, Chebyshev systems
41A10Approximation by polynomials
41A58Series expansions (e.g. Taylor, Lidstone series, but not Fourier series)
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References:
[1] Bernstein, S. N.: Leçons sur LES propriétés extrémales et la meilleure approximation des fonctions analytiques d’une variable réele. (1926)
[2] Meinardus, G.: Approximation of functions: theory and numerical methods. (1967) · Zbl 0152.15202
[3] Reddy, A. R.: Approximation of an entire function. J. approximation theory 3, 128-137 (1970) · Zbl 0207.07302
[4] Shah, S. M.: On the lower order of integral functions. Bull. amer. Math. soc. 52, 1046-1052 (1946) · Zbl 0061.15109
[5] Shohat, J.: The best polynomial approximation of functions possessing derivatives. Duke math. J. 8, 376-385 (1941) · Zbl 67.0213.01
[6] Valiron, G.: Lectures on the general theory of integral functions. (1949)
[7] Varga, R. S.: On an extention of result of S. N. Bernstein. J. approximation theory 1, 176-179 (1968) · Zbl 0177.08803
[8] Ahmed, M.: On entire functions of infinite order. Compositio math. 13, 159-172 (1955--1956)