Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Bernstein approximation problem for differentiable functions and quasi-analytic weights
HTML articles powered by AMS MathViewer

by Guido Zapata PDF
Trans. Amer. Math. Soc. 182 (1973), 503-509 Request permission

Abstract:

The Bernstein problem for differentiable functions is considered. Sufficient conditions in order that a decreasing family of weights be fundamental are given. Some of these conditions are also related to the concept of quasi-analytic weight.
References
    J. Horváth, Topological vector spaces and distributions. Vol. 1, Addison-Wesley, Reading, Mass., 1966. MR 34 #4863.
  • S. N. Mergelyan, Weighted approximations by polynomials, Uspehi Mat. Nauk (N.S.) 11 (1956), no. 5(71), 107–152 (Russian). MR 0083614
  • Leopoldo Nachbin, Elements of approximation theory, Van Nostrand Mathematical Studies, No. 14, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0217483
  • Leopoldo Nachbin, Silvio Machado, and João B. Prolla, Weighted approximation, vector fibrations and algebras of operators, J. Math. Pures Appl. (9) 50 (1971), 299–323. MR 293397
  • N. Sibony, Problème de Bernstein pour les fonctions différentiables, Séminaire Choquet, 1969/70, Initiation à l’analyse, fasc. 2, Exposé 12, Secrétariat mathématique, Paris, 1970. MR 43 #6632. G. Zapata, Aproximação ponderada para funções diferenciáveis, Monografias do Centro Brasileiro de Pesquisas Físicas, vol. 30, Rio de Janeiro, 1971.
  • Guido I. Zapata, Sur le problème de Bernstein et les algèbres de fonctions continûment différentiables, C. R. Acad. Sci. Paris Sér. A-B 274 (1972), A70–A72 (French). MR 291707
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 46E10, 41A65
  • Retrieve articles in all journals with MSC: 46E10, 41A65
Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 182 (1973), 503-509
  • MSC: Primary 46E10; Secondary 41A65
  • DOI: https://doi.org/10.1090/S0002-9947-1973-0343000-0
  • MathSciNet review: 0343000