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Matematicheskie Zametki, 1974, Volume 16, Issue 2, Pages 185–192 (Mi mzm7449)  
Weighted approximations by means of entire functions of exponential type

V. M. Veselinov

M. V. Lomonosov Moscow State University
Full-text PDF (449 kB)
Abstract: We study the approximation of continuous real functions $f(x)=O((1+|x|)^\alpha)(|x|\to\infty$, $\sigma\ge0)$ by means of entire functions of exponential type in some metric of Hausdorff type. We generalize a theorem due to N. I. Akhiezer concerning uniform weighted approximations.
Received: 27.12.1972
English version:
Mathematical Notes, 1974, Volume 16, Issue 2, Pages 965–700
DOI: https://doi.org/10.1007/BF01105572
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. M. Veselinov, “Weighted approximations by means of entire functions of exponential type”, Mat. Zametki, 16:2 (1974), 185–192; Math. Notes, 16:2 (1974), 965–700
Citation in format AMSBIB
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\by V.~M.~Veselinov
\paper Weighted approximations by means of entire functions of exponential type
\jour Mat. Zametki
\yr 1974
\vol 16
\issue 2
\pages 185--192
\mathnet{http://mi.mathnet.ru/mzm7449}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=385396}
\zmath{https://zbmath.org/?q=an:0307.41014}
\transl
\jour Math. Notes
\yr 1974
\vol 16
\issue 2
\pages 965--700
\crossref{https://doi.org/10.1007/BF01105572}
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