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