Approximation by rational functions on doubly connected domains in weighted generalized grand Smirnov classes

  • A. Testici Balikesir Univ., Turkey
Keywords: Doubly connected domai, modulus of smoothnes, Faber-Laurent serie, generalized grand Smirnov clas, Carleson curve

Abstract

UDC 517.5

Let $G\subset \mathbb{C}$ be a doubly connected domain bounded by two rectifiable Carleson curves. In this work, we use the higher modulus of smoothness in order to investigate the approximation properties of $(p-\varepsilon)$-Faber–Laurent rational functions in the subclass of weighted generalized grand Smirnov classes ${E}^{p),\theta } ( {G,\omega })$ of analytic functions.

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Published
20.07.2021
How to Cite
Testici, A. “Approximation by Rational Functions on Doubly Connected Domains in Weighted Generalized Grand Smirnov Classes”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 7, July 2021, pp. 964 -78, doi:10.37863/umzh.v73i7.559.
Section
Research articles