| Yazarlar |
Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Elman J. Ibrahimov
Azerbaijan National Academy of Sciences, Azerbaijan |
| 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 |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
| Dergi Adı | Transactions Issue Mathematics, Azerbaijan National Academy of Sciences |
| Dergi ISSN | 2306-2193 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2015 |
| Cilt No | 35 |
| Sayı | 4 |
| Sayfalar | 19 / 51 |
