电邮这篇文章 A Sobolev Orthogonal System of Functions Generated by a Walsh System
- 作者: Magomed-Kasumov M.G.1,2
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隶属关系:
- Vladikavkaz Scientific Center of Russian Academy of Sciences
- Daghestan Scientific Center of Russian Academy of Sciences
- 期: 卷 105, 编号 3-4 (2019)
- 页面: 543-549
- 栏目: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151666
- DOI: https://doi.org/10.1134/S0001434619030271
- ID: 151666
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详细
Properties of functions from the Sobolev orthogonal system \(\mathfrak{W}_{r}\) generated by the Walsh system are studied. In particular, recurrence relations for functions from \(\mathfrak{W}_{1}\) are obtained. The uniform convergence of Fourier series in the system \(\mathfrak{W}_{r}\) to functions f from the S obolev spaces \(W_{{L^p}}^r\), p ≥ 1, r = 1, 2,… is proved.
作者简介
M. Magomed-Kasumov
Vladikavkaz Scientific Center of Russian Academy of Sciences; Daghestan Scientific Center of Russian Academy of Sciences
编辑信件的主要联系方式.
Email: rasuldev@gmail.com
俄罗斯联邦, Vladikavkaz, 362008; Makhachkala, 367025
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