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Found 2,252 Documents (Results 1–100)

On the issue of convergence and summability of general Fourier series. (English. Russian original) Zbl 07760703

J. Contemp. Math. Anal., Armen. Acad. Sci. 58, No. 4, 243-252 (2023); translation from Izv. Nats. Akad. Nauk Armen., Mat. 58, No. 4, 14-23 (2023).
MSC:  42A20 42A24 42C10
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Uniform approximations by Fourier sums on the sets of convolutions of periodic functions of high smoothness. (English. Ukrainian original) Zbl 1525.42002

Ukr. Math. J. 75, No. 4, 621-651 (2023); translation from Ukr. Mat. Zh. 75, No. 4, 542-567 (2023).
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The De La Vallée Poussin sums of Fourier-Chebyshev rational integral operators and approximations to Poisson integrals on the segment [-1,1]. (The De La Vallée Poussin sums of Fourier-Chebyshev rational integral operators and approximations to Poisson integrals on the segment.) (English. Russian original) Zbl 1523.42004

Sib. Math. J. 64, No. 1, 137-156 (2023); translation from Sib. Mat. Zh. 64, No. 1, 162-183 (2023).
MSC:  42A10 42A24 41A35
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On the Pringsheim convergence of a subsequence of partial sums of a Fourier trigonometric series. (English. Russian original) Zbl 1510.42005

Proc. Steklov Inst. Math. 319, Suppl. 1, S156-S161 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 4, 121-127 (2022).
MSC:  42A20 42A24
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Uniform with respect to the parameter \(a\in(0,1)\) two-sided estimates of the sums of sine and cosine series with coefficients \(1/k^a\) by the first terms of their asymptotics. (English. Russian original) Zbl 1509.42008

Proc. Steklov Inst. Math. 319, Suppl. 1, S204-S217 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 4, 177-190 (2022).
MSC:  42A24 11M99
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Letter to the editor: Addition to the paper “On the convergence exponent of trigonometric integrals”. (English. Russian original) Zbl 1521.11051

Proc. Steklov Inst. Math. 319, 307-310 (2022); translation from Tr. Mat. Inst. Steklova 319, 324-327 (2022).
MSC:  11L03 42A24
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Analysis of the results of a computing experiment to restore the discontinuous functions of two variables using projections. III. (English. Ukrainian original) Zbl 07630483

Cybern. Syst. Anal. 58, No. 3, 372-381 (2022); translation from Kibern. Sist. Anal. 58, No. 3, 61-71 (2022).
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Optimal two-sided estimates on the interval \([\pi/2,\pi]\) of the sum of the sine series with convex coefficient sequence. (English. Russian original) Zbl 07581899

Math. Notes 112, No. 2, 328-331 (2022); translation from Mat. Zametki 112, No. 2, 317-320 (2022).
MSC:  42A24
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Analysis of the results of a computing experiment to restore the discontinuous functions of two variables using projections. II. (English. Ukrainian original) Zbl 1505.65030

Cybern. Syst. Anal. 58, No. 1, 95-106 (2022); translation from Kibern. Sist. Anal. 58, No. 1, 110-121 (2022).
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Fourier analysis. With a new foreword by Terence Tao. Reprint of the 1989 paperback edition. (English) Zbl 1498.42001

Cambridge Mathematical Library. Cambridge: Cambridge University Press (ISBN 978-1-00-923005-6/pbk; 978-1-00-923006-3/ebook). xiv, 592 p. (2022).
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Gap and type problems in Fourier analysis. (English) Zbl 1512.42006

Kechris, A. (ed.) et al., Nine mathematical challenges. An elucidation. Proceedings of the Linde Hall inaugural math symposium, California Institute of Technology, Pasadena, CA, USA, February 22–24, 2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 104, 133-147 (2021).
MSC:  42A38 42A24
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Degree of convergence of some operators associated with Hardy-Littlewood series for functions of class \(Lip( \alpha , p)\), \(p > 1\). (English) Zbl 1479.42011

Rassias, Michael Th. (ed.), Harmonic analysis and applications. Cham: Springer. Springer Optim. Appl. 168, 205-241 (2021).
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