On Jackson type inequality in Orlicz classes.

Konstantin Runovski

Revista Matemática Complutense (2001)

  • Volume: 14, Issue: 2, page 395-404
  • ISSN: 1139-1138

Abstract

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It is shown that Jackson type inequality fails in the Orlicz classes φ(L) if φ(x) differs essentially from a power function of any order.

How to cite

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Runovski, Konstantin. "On Jackson type inequality in Orlicz classes.." Revista Matemática Complutense 14.2 (2001): 395-404. <http://eudml.org/doc/44391>.

@article{Runovski2001,
abstract = {It is shown that Jackson type inequality fails in the Orlicz classes φ(L) if φ(x) differs essentially from a power function of any order.},
author = {Runovski, Konstantin},
journal = {Revista Matemática Complutense},
keywords = {Teoría de la aproximación; Desarrollo en serie de funciones; Espacio de Orlicz; Series de Fourier; Funciones periódicas; Polinomios trigonométricos; Jackson type inequality; Orlicz classes; modulus of continuity; best trigonometric approximation; non-localized systems; trigonometric system; systems of piece-wise constant functions},
language = {eng},
number = {2},
pages = {395-404},
title = {On Jackson type inequality in Orlicz classes.},
url = {http://eudml.org/doc/44391},
volume = {14},
year = {2001},
}

TY - JOUR
AU - Runovski, Konstantin
TI - On Jackson type inequality in Orlicz classes.
JO - Revista Matemática Complutense
PY - 2001
VL - 14
IS - 2
SP - 395
EP - 404
AB - It is shown that Jackson type inequality fails in the Orlicz classes φ(L) if φ(x) differs essentially from a power function of any order.
LA - eng
KW - Teoría de la aproximación; Desarrollo en serie de funciones; Espacio de Orlicz; Series de Fourier; Funciones periódicas; Polinomios trigonométricos; Jackson type inequality; Orlicz classes; modulus of continuity; best trigonometric approximation; non-localized systems; trigonometric system; systems of piece-wise constant functions
UR - http://eudml.org/doc/44391
ER -

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