Characterizations for the family of functions classes {B^r_p,q,N} and their connection with Besov’s spaces
In this paper we define families of classes of functions related to best approximations in harmonic intervals. These families of function classes characterize the order of approximation of functions by trigonometric polynomials with a spectrum from harmonic intervals. The article contains an invest...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2017-09-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/169 |
| _version_ | 1797372608205815808 |
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| author | G.A. Yessenbayeva D.N. Yesbayeva |
| author_facet | G.A. Yessenbayeva D.N. Yesbayeva |
| author_sort | G.A. Yessenbayeva |
| collection | DOAJ |
| description |
In this paper we define families of classes of functions related to best approximations in harmonic intervals. These families of function classes characterize the order of approximation of functions by trigonometric polynomials with a spectrum from harmonic intervals. The article contains an investigation of various characterizations of the indicated families of function classes, introduces imbedding theorems, and shows the connection between the introduced families of functions classes and the classical Besov spaces. The article is intended for researchers specializing in the theory of approximation and functional analysis, and all those whose interests lie in these areas.
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| first_indexed | 2024-03-08T18:38:18Z |
| format | Article |
| id | doaj.art-baff85747e6941708a2c08c1a22b647b |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:38:18Z |
| publishDate | 2017-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-baff85747e6941708a2c08c1a22b647b2023-12-29T10:21:35ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112017-09-0187310.31489/2017m3/70-75Characterizations for the family of functions classes {B^r_p,q,N} and their connection with Besov’s spacesG.A. YessenbayevaD.N. Yesbayeva In this paper we define families of classes of functions related to best approximations in harmonic intervals. These families of function classes characterize the order of approximation of functions by trigonometric polynomials with a spectrum from harmonic intervals. The article contains an investigation of various characterizations of the indicated families of function classes, introduces imbedding theorems, and shows the connection between the introduced families of functions classes and the classical Besov spaces. The article is intended for researchers specializing in the theory of approximation and functional analysis, and all those whose interests lie in these areas. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/169classes of functionsharmonic intervalsbest approximation of a functiontheorem of embedding |
| spellingShingle | G.A. Yessenbayeva D.N. Yesbayeva Characterizations for the family of functions classes {B^r_p,q,N} and their connection with Besov’s spaces Қарағанды университетінің хабаршысы. Математика сериясы classes of functions harmonic intervals best approximation of a function theorem of embedding |
| title | Characterizations for the family of functions classes {B^r_p,q,N} and their connection with Besov’s spaces |
| title_full | Characterizations for the family of functions classes {B^r_p,q,N} and their connection with Besov’s spaces |
| title_fullStr | Characterizations for the family of functions classes {B^r_p,q,N} and their connection with Besov’s spaces |
| title_full_unstemmed | Characterizations for the family of functions classes {B^r_p,q,N} and their connection with Besov’s spaces |
| title_short | Characterizations for the family of functions classes {B^r_p,q,N} and their connection with Besov’s spaces |
| title_sort | characterizations for the family of functions classes b r p q n and their connection with besov s spaces |
| topic | classes of functions harmonic intervals best approximation of a function theorem of embedding |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/169 |
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