Abstract
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 kth integral modulus of continuity in L p(L, ω) spaces is estimated.
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Israfilov, D.M. Approximation by p-Faber-Laurent Rational Functions in the Weighted Lebesgue Spaces. Czechoslovak Mathematical Journal 54, 751–765 (2004). https://doi.org/10.1007/s10587-004-6423-7
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DOI: https://doi.org/10.1007/s10587-004-6423-7