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Matematicheskie Zametki, 2003, Volume 74, Issue 2, Pages 221–229
DOI: https://doi.org/10.4213/mzm258 (Mi mzm258) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The Simplest Tauberian Theorem

A. F. Grishin

V. N. Karazin Kharkiv National University
Full-text PDF (181 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm258
Abstract: The following problem is considered: obtain the asymptotic properties of a function $u$ from the asymptotic properties of the integral $\int_0^r{u(t)}dt$. As is well known, this can be done under additional constraints on the function $u(t)$. In this paper, we obtain a theorem in which these constraints are weaker than in other well-known versions of such theorems.
Received: 19.02.2001
Revised: 25.07.2002
English version:
Mathematical Notes, 2003, Volume 74, Issue 2, Pages 212–219
DOI: https://doi.org/10.1023/A:1025052123976
Bibliographic databases:
UDC: 517
Language: Russian
Citation: A. F. Grishin, “The Simplest Tauberian Theorem”, Mat. Zametki, 74:2 (2003), 221–229; Math. Notes, 74:2 (2003), 212–219
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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