The problem of approximation in mean on arcs in the complex plane
- Authors: Mamedkhanov J.I.1
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Affiliations:
- Baku State University
- Issue: Vol 99, No 5-6 (2016)
- Pages: 697-710
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149397
- DOI: https://doi.org/10.1134/S0001434616050084
- ID: 149397
Cite item
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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