The theorems about traces and extensions for functions from Nikolsky-Besov spaces with generalized mixed smoothness
| dc.contributor.author | Bekmaganbetov, K.A. | |
| dc.contributor.author | Kervenev, K.Ye. | |
| dc.contributor.author | Toleugazy, Ye. | |
| dc.date.accessioned | 2023-01-06T09:39:16Z | |
| dc.date.available | 2023-01-06T09:39:16Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | The theory of embedding of spaces of differentiable functions studies important relations of differential (smoothness) properties of functions in various metrics and has wide application in the theory of boundary value problems of mathematical physics, approximation theory and other fields of mathematics. In this article, we prove the theorems about traces and extensions for functions from Nikolsky-Besov spaces with generalized mixed smoothness and mixed metrics. The proofs of the obtained results is based on the inequality of different dimensions for trigonometric polynomials in Lebesgue spaces with mixed metrics and the embedding theorem of classical Nikolsky Besov spaces in the space of continuous functions | ru_RU |
| dc.identifier.citation | Bekmaganbetov K.A. The theorems about traces and extensions for functions from Nikolsky-Besov spaces with generalized mixed smoothness/K.A. Bekmaganbetov, K.Ye. Kervenev, Ye. Toleugazy//Bulletin of the Karaganda University. Mathematics series. – 2022. - № 4(108). – pp.42-50. | ru_RU |
| dc.identifier.issn | 2663–5011 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/14822 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Karagandy University of the name of acad. E.A. Buketov | ru_RU |
| dc.relation.ispartofseries | Bulletin of the Karaganda University. Mathematics series;№4(108) | |
| dc.subject | Nikolsky-Besov spaces | ru_RU |
| dc.subject | generalized mixed smoothness | ru_RU |
| dc.subject | mixed metrics | ru_RU |
| dc.subject | a trace of function | ru_RU |
| dc.subject | an extension of function | ru_RU |
| dc.title | The theorems about traces and extensions for functions from Nikolsky-Besov spaces with generalized mixed smoothness | ru_RU |
| dc.title.alternative | Жалпыланған аралас тегістілігі бар Никольский-Бесов кеңістіктеріндегі функциялары үшін іздеу және жалғасулар теоремалары | ru_RU |
| dc.title.alternative | Теоремы о следах и продолжениях для функций из пространств Никольского-Бесова с обобщенной смешанной гладкостью | ru_RU |
| dc.type | Article | ru_RU |