The problem of approximation in mean on arcs in the complex plane


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Abstract

Classical theorems on the approximation of curves in the complex domain are studied; in particular, direct and inverse theorems on the arcs Γ in the complex plane in the metric of Lp(Γ) are obtained. The results obtained are new in the case of a closed interval [−1, 1] as well.

About the authors

J. I. Mamedkhanov

Baku State University

Author for correspondence.
Email: jamalmamedkhanov@rambler.ru
Azerbaijan, Baku

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