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Title: The polynomial approximation of continuous functions defined on $(-\infty,\infty)$ (English)
Author: Hsu, L. C.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 9
Issue: 4
Year: 1959
Pages: 574-578
Summary lang: Russian
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Category: math
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MSC: 41.00
idZBL: Zbl 0092.06003
idMR: MR0109975
DOI: 10.21136/CMJ.1959.100383
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Date available: 2008-06-09T13:05:05Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/100383
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Reference: [1] Chlodovsky I.: Sur le développement des fonctions dans un intervalle infini en séries de polynômes de M. S. Bernstein.Compositio Math., 4 (1937), 380-393. MR 1556982
Reference: [2] Hsu L. C.: A new type of polynomials approximating a continuous or integrable function.Studia Mathematica 18 (1959), 43-48. Zbl 0085.05301, MR 0102687, 10.4064/sm-18-1-43-48
Reference: [3] Hsu L. C., Hsu L. P.: On a new class of approximating polynomials for real functions.Science Record, new ser. (Academia Sinica), 3 (1959), 65 - 70. Zbl 0083.04903, MR 0102688
Reference: [4] Kantorovitch L. V.: Sur certains développement suivant les polynômes de la forme de S. Bernstein I, II.С. R. Acad. Sci. URSS (1930), 563-568, 595-560.
Reference: [5] Lorentz G. G.: Bernstein polynomials.(1953), Chapters I, II. Zbl 0051.05001, MR 0057370
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