Conditions of absolute Cesaro summability of multiple trigonometric Fourier series
| dc.contributor.author | Bitimkhan, S. | |
| dc.date.accessioned | 2022-02-25T12:13:58Z | |
| dc.date.available | 2022-02-25T12:13:58Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | A necessary and sufficient condition of absolute |C; β|λ-summability almost everywhere on Ts is obtained for multiple trigonometric Fourier series of functions f ∈ Lq(Ts) from generalized Besov classes Bq,s,θ ωr , where Ts = [0, 2π)s, β = (β1, β2, . . ., βs), q = (q1, q2, . . ., qs), 1 < qj ≤ 2, j = 1, s, 1 ≤ λ ≤ qs ≤ . . . ≤ q1, λ < θ < ∞, 0 ≤ βj < 1/qj ′ = 1 − 1/qj, j = 1, s, r ∈ N, r > Ps j=1(1/qj − βj), and ωr is a function of the type of modulus of smoothness of order r. © 2019 Krasovskii Institute of Mathematics and Mechanics. All Rights Reserved. | ru_RU |
| dc.identifier.citation | Bitimkhan S. Conditions of absolute Cesaro summability of multiple trigonometric Fourier series/S. Bitimkhan//Trudy Instituta Matematiki i Mekhaniki UrO RAN.-2019.-Vol 25(2).-p.42-47 | ru_RU |
| dc.identifier.issn | 01344889 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/11884 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Trudy Instituta Matematiki i Mekhaniki UrO RAN | ru_RU |
| dc.relation.ispartofseries | Trudy Instituta Matematiki i Mekhaniki UrO RAN;Vol 25(2) | |
| dc.subject | Absolute summability | ru_RU |
| dc.subject | Generalized Besov class | ru_RU |
| dc.subject | Modulus of smoothness | ru_RU |
| dc.subject | Multiple trigonometric Fourier series | ru_RU |
| dc.title | Conditions of absolute Cesaro summability of multiple trigonometric Fourier series | ru_RU |
| dc.title.alternative | ОБ УСЛОВИЯХ АБСОЛЮТНОЙ ЧЕЗАРОВСКОЙ СУММИРУЕМОСТИ КРАТНЫХ ТРИГОНОМЕТРИЧЕСКИХ РЯДОВ ФУРЬЕ | ru_RU |
| dc.type | Article | ru_RU |