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The Simplest Tauberian Theorem.
- Source :
- Mathematical Notes; Jul/Aug2003, Vol. 74 Issue 1/2, p212-219, 8p
- Publication Year :
- 2003
-
Abstract
- The following problem is considered: obtain the asymptotic properties of a function <MATH>u</MATH> from the asymptotic properties of the integral <MATH>\int_0^r{u(t)}\,dt</MATH>. As is well known, this can be done under additional constraints on the function <MATH>u(t)</MATH>. In this paper, we obtain a theorem in which these constraints are weaker than in other well-known versions of such theorems. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATHEMATICAL functions
DIFFERENTIAL equations
MATHEMATICAL analysis
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 74
- Issue :
- 1/2
- Database :
- Complementary Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 16822895
- Full Text :
- https://doi.org/10.1023/A:1025052123976