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Mathematics of the USSR-Sbornik, 1982, Volume 41, Issue 1, Pages 1–32
DOI: https://doi.org/10.1070/SM1982v041n01ABEH002218 (Mi sm2771) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On uniform and asymptotic approximation on the real axis by entire functions of restricted growth

N. U. Arakelian
English version PDF (1972 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM1982v041n01ABEH002218
Abstract: This paper establishes results, including both necessary and sufficient conditions, on uniform or asymptotic approximation on the real axis, by entire functions with the slowest possible growth in the complex plane, to arbitrary continuous or continuously differentiable functions, or to functions that are holomorphic in a strip. These results generalize and improve similar results of Bernstein, Keldysh, and others.
Bibliography: 20 titles.
Received: 16.04.1980
Bibliographic databases:
UDC: 517.53/57
MSC: Primary 30E10; Secondary 41A30
Language: English
Original paper language: Russian
Citation: N. U. Arakelian, “On uniform and asymptotic approximation on the real axis by entire functions of restricted growth”, Math. USSR-Sb., 41:1 (1982), 1–32
Citation in format AMSBIB
\Bibitem{Ara80}
\by N.~U.~Arakelian
\paper On uniform and asymptotic approximation on the real axis by entire functions of restricted growth
\jour Math. USSR-Sb.
\yr 1982
\vol 41
\issue 1
\pages 1--32
\mathnet{http://mi.mathnet.ru//eng/sm2771}
\crossref{https://doi.org/10.1070/SM1982v041n01ABEH002218}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=590536}
\zmath{https://zbmath.org/?q=an:0478.30029|0445.30030}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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