Let G ⊂ ℂ be a doubly connected domain bounded by two rectifiable Carleson curves. We use the higher modulus of smoothness in order to investigate the approximation properties of (p − 𝜀)-Faber–Laurent rational functions in the subclass of weighted generalized grand Smirnov classes Ep),(G, 𝜔) of analytic functions.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 7, pp. 964–978, July, 2021. Ukrainian DOI: 10.37863/umzh.v73i7.559.
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Testici, A. Approximation by Rational Functions on Doubly Connected Domains in Weighted Generalized Grand Smirnov Classes. Ukr Math J 73, 1122–1137 (2021). https://doi.org/10.1007/s11253-021-01981-4
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DOI: https://doi.org/10.1007/s11253-021-01981-4