Summability "au plus petit terme"

• Autorzy: María-Angeles Zurro
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 40A05: Convergence and divergence of series and sequences
• 40A25: Approximation to limiting values (summation of series, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995
• Tom: 113
• Numer: 2
• Strony: 197-198

Daty

wydano

1995

otrzymano

1994-07-04

Twórcy

autor

María-Angeles Zurro

• Departamento de Algebra, Geometría y Topología, Facultad de Ciencias, Universidad de Valladolid, 47005 Valladolid, Spain