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

Authors : Sadulla Z. JAFAROV

Pages : 1356-1366

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Publication Date : 2019-10-08

Article Type : Research Paper

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 $E^{p}insert ignore into journalissuearticles values(G,\omega );$ 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