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

Year 2019, Volume: 48 Issue: 5, 1356 - 1366, 08.10.2019

Sadulla Z. Jafarov

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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