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Found 8,699 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 07757646

Ukr. Math. J. 75, No. 4, 621-651 (2023); translation from Ukr. Mat. Zh. 75, No. 4, 542-567 (2023).
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Solution with movable singular points of some Hamiltonian system. (English) Zbl 1515.37063

Filipuk, Galina (ed.) et al., Recent trends in formal and analytic solutions of diff. equations. Virtual conference, University of Alcalá, Alcalá de Henares, Spain, June 28 – July 2, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 782, 207-218 (2023).
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Summability of formal solutions for a family of linear moment integro-differential equations. (English) Zbl 1511.35083

Filipuk, Galina (ed.) et al., Recent trends in formal and analytic solutions of diff. equations. Virtual conference, University of Alcalá, Alcalá de Henares, Spain, June 28 – July 2, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 782, 167-192 (2023).
MSC:  35C10 35G10
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More (almost) impossible integrals, sums, and series. A new collection of fiendish problems and surprising solutions. (English) Zbl 1515.26004

Problem Books in Mathematics. Cham: Springer (ISBN 978-3-031-21261-1/hbk; 978-3-031-21264-2/pbk; 978-3-031-21262-8/ebook). xxxiv, 816 p. (2023).
MSC:  26-01 40-01 00A07
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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 07658747

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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