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Found 1,348 Documents (Results 1–100)

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Inverse theorems on the approximation of periodic functions with high generalized smoothness. (English. Russian original) Zbl 1485.42003

Math. Notes 111, No. 2, 320-323 (2022); translation from Mat. Zametki 111, No. 2, 312-315 (2022).
MSC:  42A10 41A50 46E35
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Entropy and concentration. (English) Zbl 1484.60021

De Mari, Filippo (ed.) et al., Harmonic and applied analysis. From Radon transforms to machine learning. Based on contributions presented at the 2nd and 3rd summer schools on applied harmonic analysis, University of Genova, Genova, Italy, 2017 and 2019. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 55-100 (2021).
MSC:  60E15 60C05
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Weighted Chebyshev polynomials on compact subsets of the complex plane. (English) Zbl 1483.30023

Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 357-370 (2021).
MSC:  30C10 30E10 41A50
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Sampling by averages and average splines on Dirichlet spaces and on combinatorial graphs. (English) Zbl 1481.94074

Hirn, Matthew (ed.) et al., Excursions in harmonic analysis, Volume 6. In honor of John Benedetto’s 80th birthday. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 243-268 (2021).
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Refinement of relations between mixed moduli of smoothness in the metrics of \(L_p\) and \(L_\infty \). (English. Russian original) Zbl 07431855

Math. Notes 110, No. 3, 347-362 (2021); translation from Mat. Zametki 110, No. 3, 368-385 (2021).
MSC:  46E30 41A17 26A33
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Explicit solution, for \(n = 6\), to a Markov-type extremal problem initiated by Schur. (English) Zbl 1460.41007

Draganov, Borislav (ed.) et al., Constructive theory of functions. Proceedings of the 13th international conference, Sozopol, Bulgaria, June 2–8, 2019. Dedicated to the memory of Blagovest Sendov. Sofia: Prof. Marin Drinov Academic Publishing House. 195-219 (2020).
MSC:  41A17 41A29
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Approximation of functions of a complex variable by Fourier sums in orthogonal systems in \(L_2\). (English. Russian original) Zbl 1462.41004

Russ. Math. 64, No. 6, 56-62 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 6, 65-72 (2020).
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On the best approximation in the mean of functions of a complex variable by Fourier series in the Bergman space. (English. Russian original) Zbl 1443.41009

Russ. Math. 64, No. 2, 66-83 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 2, 74-92 (2020).
MSC:  41A17 41A10 43A50
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