Generalized gegenbauer shift and some problems of the theory of approximation of functions on the metric of L2,λ
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV
Azerbaijan National Academy Of Sciences, Azerbaycan
Azerbaijan National Academy Of Sciences, Azerbaycan
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Transactions of National Academy of Sciences of Azerbaijan Series of Physical Technical and Mathematical Sciences | ||
| Dergi ISSN | 3005-8139 Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2015 |
| Cilt / Sayı / Sayfa | 35 / 4 / 19–51 | DOI | – |
| Özet |
| In this paper we consider some problems of the theory of approximation of functions on interval [0, ∞) in the metric of L2,λ with weight sh2λx. The modulus of continuity used in those problems is constructed with the help of generalized Gegenbauer shift operator. The direct Jakson type theorems are proved. The function spaces of Nikolski-Besov type associated with Gegenbauer differential operator Dλ are introduced and their descriptions in terms of best approximations are obtained. |
| Anahtar Kelimeler |
| Approximation of functions | Gegenbauer transformations | Generalized gegenbauer shift | The boundedness of spectrum functions |