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Matematicheskie Zametki, 1996, Volume 60, Issue 1, Pages 66–74
DOI: https://doi.org/10.4213/mzm1804 (Mi mzm1804) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The moments problem for rapidly decreasing functions

A. Yu. Popov

M. V. Lomonosov Moscow State University
Full-text PDF (171 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm1804
Abstract: Function classes are described in which the moments problem
$$ \int_0^{+\infty}t^{\alpha_n}f(t)dt=c_n $$
is solvable for any right-hand sides from a sequence $\{c_n\}$. Constructive solutions are given. The results obtained generalize and supplement some theorems proved earlier by other mathematicians.
Received: 07.08.1992
Revised: 02.10.1995
English version:
Mathematical Notes, 1996, Volume 60, Issue 1, Pages 49–55
DOI: https://doi.org/10.1007/BF02308879
Bibliographic databases:
UDC: 517
Language: Russian
Citation: A. Yu. Popov, “The moments problem for rapidly decreasing functions”, Mat. Zametki, 60:1 (1996), 66–74; Math. Notes, 60:1 (1996), 49–55
Citation in format AMSBIB
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\paper The moments problem for rapidly decreasing functions
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\pages 66--74
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\transl
\jour Math. Notes
\yr 1996
\vol 60
\issue 1
\pages 49--55
\crossref{https://doi.org/10.1007/BF02308879}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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