| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
E. J. Ibragimov
|
| Özet |
| Taylor-Delsart formula is elaborated in the paper for functions of the generalized Gegenbauer shift. This formula is utilized to construct a version of the Gegenbauer shift modulus of smoothness of order k which for k = 1 reduces to the modulus of smoothness of the first order. By means of this modulus and Peetre's K-functional, an interpolation theorem is obtained. Equivalent normalizations are obtained for functional spaces associated with the generalized Gegenbauer shift. |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | ANALYSIS MATHEMATICA |
| Dergi ISSN | 0133-3852 |
| Dergi Grubu | Q4 |
| Makale Dili | İngilizce |
| Basım Tarihi | 06-2008 |
| Cilt No | 34 |
| Sayı | 2 |
| Sayfalar | 83 / 103 |
| Doi Numarası | 10.1007/s10476-008-0201-y |
