Approximation by $p-$Faber-Laurent rational functions in doubly-connected domain

Abstract

Let $G$ be a doubly-connected domain bounded by regular curves. In this work, the approximation properties of the $p-$Faber-Laurent rational seriesexpansions in the $\omega -$weighted Smirnov classes $E^{p}(G,\omega )$ are studied.

Keywords

• Faber-Laurent rational functions,conformal mapping,regular curve,$\omega$-weighted Smirnov class $E^{p}(G;\omega )$,$k$-th integral modulus of continuity

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