Arestov, Vitalii V.; Deikalova, Marina V. On one inequality of different metrics for trigonometric polynomials. (English) Zbl 07667822 Ural Math. J. 8, No. 2, 27-45 (2022). MSC: 42A05 42A10 41A17 PDF BibTeX XML Cite \textit{V. V. Arestov} and \textit{M. V. Deikalova}, Ural Math. J. 8, No. 2, 27--45 (2022; Zbl 07667822) Full Text: DOI MNR OpenURL
Arestov, V. V.; Deikalova, M. V. On one generalized translation and the corresponding inequality of different metrics. (English. Russian original) Zbl 07667149 Proc. Steklov Inst. Math. 319, Suppl. 1, S30-S42 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 4, 40-53 (2022). MSC: 41A17 41A63 42A05 46E30 PDF BibTeX XML Cite \textit{V. V. Arestov} and \textit{M. V. Deikalova}, Proc. Steklov Inst. Math. 319, S30--S42 (2022; Zbl 07667149); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 4, 40--53 (2022) Full Text: DOI OpenURL
Guliyeva, A. E. On basicity of a certain trigonometric system in a weighted Lebesgue space. (English) Zbl 07626322 Lobachevskii J. Math. 43, No. 8, 2125-2132 (2022). MSC: 41-XX 42-XX PDF BibTeX XML Cite \textit{A. E. Guliyeva}, Lobachevskii J. Math. 43, No. 8, 2125--2132 (2022; Zbl 07626322) Full Text: DOI OpenURL
Arestov, V. Uniform approximation of differentiation operators by bounded linear operators in the space \(L_r\). (English) Zbl 1474.41035 Anal. Math. 46, No. 3, 425-445 (2020). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 41A35 26D10 41A50 PDF BibTeX XML Cite \textit{V. Arestov}, Anal. Math. 46, No. 3, 425--445 (2020; Zbl 1474.41035) Full Text: DOI OpenURL
Arestov, V. V. Best uniform approximation of the differentiation operator by operators bounded in the space \(L_2\). (English. Russian original) Zbl 1472.41013 Proc. Steklov Inst. Math. 308, Suppl. 1, 9-30 (2020); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 4, 34-56 (2018). Reviewer: Vijay Gupta (New Delhi) MSC: 41A50 41A52 PDF BibTeX XML Cite \textit{V. V. Arestov}, Proc. Steklov Inst. Math. 308, 9--30 (2020; Zbl 1472.41013); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 4, 34--56 (2018) Full Text: DOI OpenURL