On approximation of functions by rational functions in weighted generalized grand Smirnov classes

Arabian Journal of Mathematics - Tập 11 - Trang 293-302 - 2022
Sadulla Z. Jafarov1,2
1Department of Mathematics and Science Education, Faculty of Education, Muş Alparslan University, Muş, Turkey
2Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, Azerbaijan

Tóm tắt

Let G be a doubly connected domain in the complex plane $$\mathbb {C}$$ , bounded by Ahlfors 1-regular curves. In this study the approximation of the functions by Faber–Laurent rational functions in the $$\omega $$ -weighted generalized grand Smirnov classes $$\mathcal {E}^{p),\theta }(G,\omega )$$ in the term of the rth $$,~r=1,2\ldots ,$$ mean modulus of smoothness are investigated.

Tài liệu tham khảo

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