TY - JOUR AU - A. Testici PY - 2021/07/20 Y2 - 2024/03/28 TI - Approximation by rational functions on doubly connected domains in weighted generalized grand Smirnov classes JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 73 IS - 7 SE - Research articles DO - 10.37863/umzh.v73i7.559 UR - https://umj.imath.kiev.ua/index.php/umj/article/view/559 AB - UDC 517.5Let $G\subset \mathbb{C}$ 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. ER -