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A sharp estimate of the Landau constants. (English) Zbl 0486.41013

MSC:
41A35 Approximation by operators (in particular, by integral operators)
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[1] Fejér, L, Lebesguesche konstanten und divergente fourierrechen, J. reine angew. math., 138, 22-53, (1910) · JFM 41.0288.01
[2] {\scS. D. Fisher, P. D. Morris, and D. E. Wulbert}, Unique minimality of Fourier projections, Trans. Amer. Math. Soc., in press. · Zbl 0545.42001
[3] Galkin, P.V, Estimates for the Lebesgue constants, (), 1-3 · Zbl 0285.42009
[4] Geddes, K.O; Mason, T.C, Polynomial approximation by projections on the unit circle, SIAM J. numer. anal., 12, 111-120, (1975)
[5] Gurland, T, On Wallis’ formula, Amer. math. monthly, 63, No. 9, 643-645, (1956) · Zbl 0073.14601
[6] Landau, E; Landau, E, Abschätzung der koeffizientensumme einer potenzreihe, Archiv der Mathematik und physik (3), Archiv der Mathematik und physik (3), 21, 250-255, (1913) · JFM 44.0288.03
[7] Rivlin, T.J, The Lebesgue constants for polynomial interpolation, (), 422-437 · Zbl 0299.41005
[8] Watson, G.N, The constants of Landau and Lebesgue, Quarterly J. math. Oxford ser., 1, 310-318, (1930) · JFM 56.0972.02
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