| Yazarlar |
Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Elman J. Ibrahimov
|
| Özet |
| Using the generalized shift operator (GSO) generated by the Gegenbauer differential operator we introduce the notion of a Lebesgue-Gegenbauer (L-G)-point of a summable function f on the interval [1, infinity) and prove that almost all points of this interval are (L-G)-points of f. Furthermore, we give an exact (by order) estimation of the approximation of locally summable functions by singular integrals generated by GSO (Gegenbauer singular integrals). |
| Anahtar Kelimeler |
| Gegenbauer differential operator | Gegenbauer singular integral | generalized shift operator |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | GEORGIAN MATHEMATICAL JOURNAL |
| Dergi ISSN | 1072-947X |
| Dergi Grubu | Q4 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2008 |
| Cilt No | 15 |
| Sayı | 2 |
| Sayfalar | 251 / 262 |
| Doi Numarası | 10.1515/GMJ.2008.251 |
