Onesided approximation and real interpolation.

N. Krugljak; E. Matvejev

Collectanea Mathematica (1997)

  • Volume: 48, Issue: 4-5-6, page 619-634
  • ISSN: 0010-0757

Abstract

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It is proved that the reiteration theorem is not valid for the spaces Ap (theta,q) defined by V. Popov by means of onesided approximation. It is also proved that a class of cones, defined by onesided approximation of piecewise linear functions on the interval [0,1], is stable for the real interpolation method.

How to cite

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Krugljak, N., and Matvejev, E.. "Onesided approximation and real interpolation.." Collectanea Mathematica 48.4-5-6 (1997): 619-634. <http://eudml.org/doc/40860>.

@article{Krugljak1997,
abstract = {It is proved that the reiteration theorem is not valid for the spaces Ap (theta,q) defined by V. Popov by means of onesided approximation. It is also proved that a class of cones, defined by onesided approximation of piecewise linear functions on the interval [0,1], is stable for the real interpolation method.},
author = {Krugljak, N., Matvejev, E.},
journal = {Collectanea Mathematica},
keywords = {Teoría de la aproximación; Interpolación; Conos; Funciones lineales; Funciones reales; Teorema estabilidad; real interpolation; one-sided approximation},
language = {eng},
number = {4-5-6},
pages = {619-634},
title = {Onesided approximation and real interpolation.},
url = {http://eudml.org/doc/40860},
volume = {48},
year = {1997},
}

TY - JOUR
AU - Krugljak, N.
AU - Matvejev, E.
TI - Onesided approximation and real interpolation.
JO - Collectanea Mathematica
PY - 1997
VL - 48
IS - 4-5-6
SP - 619
EP - 634
AB - It is proved that the reiteration theorem is not valid for the spaces Ap (theta,q) defined by V. Popov by means of onesided approximation. It is also proved that a class of cones, defined by onesided approximation of piecewise linear functions on the interval [0,1], is stable for the real interpolation method.
LA - eng
KW - Teoría de la aproximación; Interpolación; Conos; Funciones lineales; Funciones reales; Teorema estabilidad; real interpolation; one-sided approximation
UR - http://eudml.org/doc/40860
ER -

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