Limit theorems for the best polynomial approximations in the L? metric-Reference-Cited by-同舟云学术

Limit theorems for the best polynomial approximations in the L? metric

Published:1991-03 Issue:3 Volume:43 Page:299-305
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Ganzburg M. I.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01060838.pdf

Reference11 articles.

1. E. M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Univ. Press, Princeton (1971).

2. S. N. Bernshtein, ?On the best approximation of continuous functions on the entire real axis with the aid of entire functions of a given degree. I?V,? in: Collected Works, Vol. II, Constructive Function Theory, Izd. Akad. Nauk SSSR, Moscow (1954), pp. 371?395.

3. N. I. Akhiezer, Lectures in the Theory of Approximation [in Russian], Nauka, Moscow (1965).

4. M. I. Ganzburg, ?Multidimensional limit theorems of the theory of best polynomial approximations,? Sib. Mat. Zh.,23, No. 3, 30?47 (1982).

5. H. Bateman and A. Erdélyi, Higher Transcendental Functions, Vols. I?III, McGraw-Hill, New York (1953?55).

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