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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The remainder in asymptotic integration


Author: Horst Behncke
Journal: Proc. Amer. Math. Soc. 136 (2008), 3231-3238
MSC (2000): Primary 34E10
DOI: https://doi.org/10.1090/S0002-9939-08-09403-3
Published electronically: May 5, 2008
MathSciNet review: 2407088
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Abstract: Quantitative estimates for the remainder terms in Levinson's Theorem are provided. This gives a precise meaning to the idea that small perturbations should result in small remainder terms.


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Additional Information

Horst Behncke
Affiliation: Fachbereich Mathematik/Informatik, Universität Osnabrück, Osnabrück D-49069, Germany

DOI: https://doi.org/10.1090/S0002-9939-08-09403-3
Received by editor(s): July 30, 2007
Published electronically: May 5, 2008
Communicated by: Carmen C. Chicone
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.