Asymptotic approximations in Banach spaces.

Piedad Guijarro Carranza

Stochastica (1985)

  • Volume: 9, Issue: 1, page 25-45
  • ISSN: 0210-7821

Abstract

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Let U be an open convex set in a Banach space E, F another Banach space. We consider the space HUb(U,F) of all F-valued holomorphic functions of bounded type in U possesing an asymptotic expansion in the origin. We study classes of asymptotic approximations such that two functions in the same class with an identical asymptotic expansion must coincide. In this paper, we characterize the functions belonging to some of these classes which are optimal approximations of a given series.

How to cite

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Guijarro Carranza, Piedad. "Aproximaciones asintóticas en espacios de Banach.." Stochastica 9.1 (1985): 25-45. <http://eudml.org/doc/38923>.

@article{GuijarroCarranza1985,
author = {Guijarro Carranza, Piedad},
journal = {Stochastica},
keywords = {Espacios de Banach; Desarrollo asintótico; Aproximación; Desarrollo en serie de funciones; Banach space; holomorphic functions; optimal approximations},
language = {spa},
number = {1},
pages = {25-45},
title = {Aproximaciones asintóticas en espacios de Banach.},
url = {http://eudml.org/doc/38923},
volume = {9},
year = {1985},
}

TY - JOUR
AU - Guijarro Carranza, Piedad
TI - Aproximaciones asintóticas en espacios de Banach.
JO - Stochastica
PY - 1985
VL - 9
IS - 1
SP - 25
EP - 45
LA - spa
KW - Espacios de Banach; Desarrollo asintótico; Aproximación; Desarrollo en serie de funciones; Banach space; holomorphic functions; optimal approximations
UR - http://eudml.org/doc/38923
ER -

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