Yazarlar |
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 |