Summability "au plus petit terme"

María-Angeles Zurro

Studia Mathematica (1995)

  • Volume: 113, Issue: 2, page 197-198
  • ISSN: 0039-3223

Abstract

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There is a curious phenomenon in the theory of Gevrey asymptotic expansions. In general the asymptotic formal power series is divergent, but there is some partial sum which approaches the value of the function very well. In this note we prove that there exists a truncation of the series which comes near the function in an exponentially flat way.

How to cite

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Zurro, María-Angeles. "Summability "au plus petit terme"." Studia Mathematica 113.2 (1995): 197-198. <http://eudml.org/doc/216169>.

@article{Zurro1995,
abstract = {There is a curious phenomenon in the theory of Gevrey asymptotic expansions. In general the asymptotic formal power series is divergent, but there is some partial sum which approaches the value of the function very well. In this note we prove that there exists a truncation of the series which comes near the function in an exponentially flat way.},
author = {Zurro, María-Angeles},
journal = {Studia Mathematica},
keywords = {Gevrey asymptotic expansions; asymptotic formal power series},
language = {eng},
number = {2},
pages = {197-198},
title = {Summability "au plus petit terme"},
url = {http://eudml.org/doc/216169},
volume = {113},
year = {1995},
}

TY - JOUR
AU - Zurro, María-Angeles
TI - Summability "au plus petit terme"
JO - Studia Mathematica
PY - 1995
VL - 113
IS - 2
SP - 197
EP - 198
AB - There is a curious phenomenon in the theory of Gevrey asymptotic expansions. In general the asymptotic formal power series is divergent, but there is some partial sum which approaches the value of the function very well. In this note we prove that there exists a truncation of the series which comes near the function in an exponentially flat way.
LA - eng
KW - Gevrey asymptotic expansions; asymptotic formal power series
UR - http://eudml.org/doc/216169
ER -

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