Open AccessApproximation by rational functions on doubly connected domains in weighted generalized grand Smirnov classes
Author(s) -
Ahmet Testici
Publication year - 2021
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v73i7.559
Subject(s) - mathematics , smoothness , bounded function , rational function , domain (mathematical analysis) , pure mathematics , combinatorics , mathematical analysis
UDC 517.5Let 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 -Faber–Laurent rational functions in the subclass of weighted generalized grand Smirnov classes of analytic functions.