Geodesic
Approximation by $p$-Faber-Laurent rational functions in the weighted Lebesgue spaces
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 751-765.

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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.
Classification : 30E10, 41A10, 41A25, 41A30, 41A58
Keywords: Faber polynomial; Faber series; weighted Lebesgue space; weighted Smirnov space; $k$-th modulus of continuity 
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     author = {Israfilov, Daniyal M.},
     title = {Approximation by $p${-Faber-Laurent} rational functions in the weighted {Lebesgue} spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {751--765},
     publisher = {mathdoc},
     volume = {54},
     number = {3},
     year = {2004},
     mrnumber = {2086731},
     zbl = {1080.41500},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2004__54_3_a16/}
}
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Israfilov, Daniyal M. Approximation by $p$-Faber-Laurent rational functions in the weighted Lebesgue spaces. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 751-765. http://geodesic.mathdoc.fr/item/CMJ_2004__54_3_a16/