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Grigoryan, M. G.; Grigoryan, T. M.; Simonyan, L. S.

On the convergence Fourier series and greedy algorithm by multiplicative system. (English) Zbl 07857656

Cardona, Duván (ed.) et al., Extended abstracts 2021/2022. Methusalem lectures, Ghent, Belgium. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 3, 117-123 (2024).
MSC:  42A20 42A16 42A10 42C10
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\textit{M. G. Grigoryan} et al., Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 3, 117--123 (2024; Zbl 07857656)
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Laktionova, N. V.; Runovskii, K. V.

Approximation of periodic functions of high generalized smoothness by Fourier sums. (English. Russian original) Zbl 07840465

Math. Notes 115, No. 2, 275-278 (2024); translation from Mat. Zametki 115, No. 2, 304-307 (2024).
Reviewer: Włodzimierz Łenski (Poznań)
MSC:  42A10 41A50 41A25 26A24
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\textit{N. V. Laktionova} and \textit{K. V. Runovskii}, Math. Notes 115, No. 2, 275--278 (2024; Zbl 07840465); translation from Mat. Zametki 115, No. 2, 304--307 (2024)
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Abramova, E. V.; Sivkova, E. O.

On the optimal recovery of one family of operators on a class of functions from approximate information about its spectrum. (English. Russian original) Zbl 1539.42008

Sib. Math. J. 65, No. 2, 245-256 (2024); translation from Sib. Mat. Zh. 65, No. 2, 235-248 (2024).
Reviewer: Francisco Pérez Acosta (La Laguna)
MSC:  42B10 35J05 35K05 41A30 41A50 42A10 49N45 46E35
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\textit{E. V. Abramova} and \textit{E. O. Sivkova}, Sib. Math. J. 65, No. 2, 245--256 (2024; Zbl 1539.42008); translation from Sib. Mat. Zh. 65, No. 2, 235--248 (2024)
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Potseiko, P. G.; Rovba, E. A.

The Riesz-Zygmund sums of Fourier-Chebyshev rational integral operators and their approximation properties. (English. Russian original) Zbl 07804697

Sib. Math. J. 65, No. 1, 118-138 (2024); translation from Sib. Mat. Zh. 65, No. 1, 140-163 (2024).
MSC:  42A10 42C10 42A38
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\textit{P. G. Potseiko} and \textit{E. A. Rovba}, Sib. Math. J. 65, No. 1, 118--138 (2024; Zbl 07804697); translation from Sib. Mat. Zh. 65, No. 1, 140--163 (2024)
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Pozharska, K. V.; Romanyuk, A. S.

Estimates for the approximation characteristics of the Nikol’skii-Besov classes of functions with mixed smoothness in the space \(B_{q,1}\). arXiv:2404.05451

Preprint, arXiv:2404.05451 [math.CA] (2024).
MSC:  41A46 41A50 42A10
BibTeX Cite
\textit{K. V. Pozharska} and \textit{A. S. Romanyuk}, ``Estimates for the approximation characteristics of the Nikol'skii-Besov classes of functions with mixed smoothness in the space $B_{q,1}$'', Preprint, arXiv:2404.05451 [math.CA] (2024)
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Shabozov, Mirand Shabozovich; Malakbozov, Zorik Sherozovich

Sharp Jackson-Stechkin type inequalities in Hardy space \(H_2\) and widths of functional classes. (Russian. English summary) Zbl 07863164

Ufim. Mat. Zh. 15, No. 2, 74-84 (2023); translation in Ufa Math. J. 15, No. 2, 74-84 (2023).
MSC:  30E05 30E10 42A10
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\textit{M. S. Shabozov} and \textit{Z. S. Malakbozov}, Ufim. Mat. Zh. 15, No. 2, 74--84 (2023; Zbl 07863164); translation in Ufa Math. J. 15, No. 2, 74--84 (2023)
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Shakirov, I. A.

Approximation of the Lebesgue constant of the Fourier operator by a logarithmic-fractional-rational function. (English. Russian original) Zbl 07858832

Russ. Math. 67, No. 11, 64-74 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 11, 75-85 (2023).
Reviewer: Vitaliy Volchkov (Donetsk)
MSC:  41A44 42A10
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\textit{I. A. Shakirov}, Russ. Math. 67, No. 11, 64--74 (2023; Zbl 07858832); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 11, 75--85 (2023)
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Potseĭko, Pavel Gennad’Evich; Rovba, Evgeniĭ Alekseevich

On rational approximations of Poisson integrals on the interval by Fejér sums of Fourier-Chebyshev integral operators. (Russian. English summary) Zbl 07815497

Vestsi Nats. Akad. Navuk Belarusi, Ser. Fiz.-Mat. Navuk 59, No. 3, 183-200 (2023).
Reviewer: V. L. Leontiev (Sankt-Peterburg)
MSC:  41A60 42A10
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\textit{P. G. Potseĭko} and \textit{E. A. Rovba}, Vestsi Nats. Akad. Navuk Belarusi, Ser. Fiz.-Mat. Navuk 59, No. 3, 183--200 (2023; Zbl 07815497)
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Kazloŭskaya, Natallya Yur’eŭna; Roŭba, Yaŭgen Alyakseevich

On the approximation of the \(| \sin x|^s\) function by rational trigonometric operators of the Fejér type. (Byelorussian. English summary) Zbl 07815489

Vestsi Nats. Akad. Navuk Belarusi, Ser. Fiz.-Mat. Navuk 59, No. 2, 95-109 (2023).
Reviewer: Vitaliy Volchkov (Donetsk)
MSC:  41A20 42A10
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\textit{N. Y. Kazloŭskaya} and \textit{Y. A. Roŭba}, Vestsi Nats. Akad. Navuk Belarusi, Ser. Fiz.-Mat. Navuk 59, No. 2, 95--109 (2023; Zbl 07815489)
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Chernykh, N. I.

Reconstruction of a function analytic in a disk from the boundary values of its real part using interpolation wavelets. (English. Russian original) Zbl 1533.42001

Proc. Steklov Inst. Math. 323, Suppl. 1, S78-S84 (2023); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 2, 287-293 (2023).
MSC:  42A10 42B35 65T60
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\textit{N. I. Chernykh}, Proc. Steklov Inst. Math. 323, S78--S84 (2023; Zbl 1533.42001); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 2, 287--293 (2023)
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Hembars’ka, Svitlana B.; Romanyuk, Ihor A.; Fedunyk-Yaremchuk, Oksana V.

Characteristics of the linear and nonlinear approximations of the Nikol’skii-Besov-type classes of periodic functions of several variables. (English. Ukrainian original) Zbl 1536.42024

J. Math. Sci., New York 274, No. 3, 307-326 (2023); translation from Ukr. Mat. Visn. 20, No. 2, 161-185 (2023).
MSC:  42B35 42A10
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\textit{S. B. Hembars'ka} et al., J. Math. Sci., New York 274, No. 3, 307--326 (2023; Zbl 1536.42024); translation from Ukr. Mat. Visn. 20, No. 2, 161--185 (2023)
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Serdyuk, Anatolii; Stepanyuk, Tetyana

Approximation of generalized Poisson integrals by interpolating trigonometric polynomials. (English. Ukrainian original) Zbl 1530.42002

Ukr. Math. J. 75, No. 7, 1081-1107 (2023); translation from Ukr. Mat. Zh. 75, No. 7, 946-969 (2023).
Reviewer: Sorin Gheorghe Gal (Oradea)
MSC:  42A15 42A10 42A05 41A50
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\textit{A. Serdyuk} and \textit{T. Stepanyuk}, Ukr. Math. J. 75, No. 7, 1081--1107 (2023; Zbl 1530.42002); translation from Ukr. Mat. Zh. 75, No. 7, 946--969 (2023)
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Serdyuk, A.; Stepanyuk, T.

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).
MSC:  42A10 42A24 41A50 42A85 30E10
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\textit{A. Serdyuk} and \textit{T. Stepanyuk}, Ukr. Math. J. 75, No. 4, 621--651 (2023; Zbl 1525.42002); translation from Ukr. Mat. Zh. 75, No. 4, 542--567 (2023)
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Potseiko, P. G.; Rovba, Y. A.

On estimates of uniform approximations by rational Fourier-Chebyshev integral operators for a certain choice of poles. (English. Russian original) Zbl 1518.42004

Math. Notes 113, No. 6, 815-830 (2023); translation from Mat. Zametki 113, No. 6, 876-894 (2023).
MSC:  42A10 41A20 41A50
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\textit{P. G. Potseiko} and \textit{Y. A. Rovba}, Math. Notes 113, No. 6, 815--830 (2023; Zbl 1518.42004); translation from Mat. Zametki 113, No. 6, 876--894 (2023)
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