On the boundedness and unboundedness of polynomials-Reference-Cited by-同舟云学术

On the boundedness and unboundedness of polynomials

Published:1967-12 Issue:1 Volume:19 Page:135-148
ISSN:0021-7670
Container-title:Journal d'Analyse Mathématique
language:en
Short-container-title:J. Anal. Math.

Author:

Erdös P.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/BF02788712.pdf

Reference7 articles.

1. S. Bernstein, Sur une classe de formules d'interpolation,Bull. Acad. Sci. U.S.S.R. (7) vol.4 (1931), 1151–1161, see also Y. Marcinkievicz and A. Zygmund, Mean values of trigonometric polynomials,Fund. Math. 28 (1937), 131–166. see p. 148.

2. S. Bernstein,Belg. Mem. 1912 p. 19.

3. P. Erdös, On some convergence properties of the interpolation polynomials,Annals of Math. 44 (1943), 330–337.

4. P. Erdös and G. Grünwald, Note on an elementary problem of interpolation,Bull. Amer. Math. Soc. 44 (1938), 515–518. The slightly weaker inequality of Fejér would have served our purpose just as well (Math. Annalen 106 (1932), 1–55.

5. G. Faber, Über die interpolatorische Darstellung stetiger Funktionen,Jahresbericht der Deutschen Math. Ver. 23 (1914), 190–210.

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1. Extremal Properties of Polynomials;Bolyai Society Mathematical Studies;2006

2. Simultaneous approximation and interpolation of functions on continua in the complex plane☆☆This research was supported in part by the National Science Foundation grant DMS-9707359.;Journal de Mathématiques Pures et Appliquées;2001-05

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