Approximation by p -Faber-Laurent rational functions in the weighted Lebesgue spaces

Daniyal M. Israfilov

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 3, page 751-765
  • ISSN: 0011-4642

Abstract

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Let L ⊂ C be a regular Jordan curve. In this work, the approximation properties of the p -Faber-Laurent rational series expansions in the ω weighted Lebesgue spaces L p ( L , ω ) are studied. Under some restrictive conditions upon the weight functions the degree of this approximation by a k th integral modulus of continuity in L p ( L , ω ) spaces is estimated.

How to cite

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Israfilov, Daniyal M.. "Approximation by $p$-Faber-Laurent rational functions in the weighted Lebesgue spaces." Czechoslovak Mathematical Journal 54.3 (2004): 751-765. <http://eudml.org/doc/30897>.

@article{Israfilov2004,
abstract = {Let $L\subset C$ be a regular Jordan curve. In this work, the approximation properties of the $p$-Faber-Laurent rational series expansions in the $\omega $ weighted Lebesgue spaces $L^p(L,\omega )$ are studied. Under some restrictive conditions upon the weight functions the degree of this approximation by a $k$th integral modulus of continuity in $L^p(L,\omega )$ spaces is estimated.},
author = {Israfilov, Daniyal M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Faber polynomial; Faber series; weighted Lebesgue space; weighted Smirnov space; $k$-th modulus of continuity; Faber polynomial; Faber series; weighted Lebesgue space; weighted Smirnov space; -th modulus of continuity},
language = {eng},
number = {3},
pages = {751-765},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Approximation by $p$-Faber-Laurent rational functions in the weighted Lebesgue spaces},
url = {http://eudml.org/doc/30897},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Israfilov, Daniyal M.
TI - Approximation by $p$-Faber-Laurent rational functions in the weighted Lebesgue spaces
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 3
SP - 751
EP - 765
AB - Let $L\subset C$ be a regular Jordan curve. In this work, the approximation properties of the $p$-Faber-Laurent rational series expansions in the $\omega $ weighted Lebesgue spaces $L^p(L,\omega )$ are studied. Under some restrictive conditions upon the weight functions the degree of this approximation by a $k$th integral modulus of continuity in $L^p(L,\omega )$ spaces is estimated.
LA - eng
KW - Faber polynomial; Faber series; weighted Lebesgue space; weighted Smirnov space; $k$-th modulus of continuity; Faber polynomial; Faber series; weighted Lebesgue space; weighted Smirnov space; -th modulus of continuity
UR - http://eudml.org/doc/30897
ER -

References

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