On estimating the approximation of locally summable functions by Gegenbauer singular integrals
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV
Baku State University, Azerbaycan
Azerbaijan State Oil And Industry University, Azerbaycan
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Georgian Mathematical Journal (Q4) | ||
| Dergi ISSN | 1072-947X Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2008 |
| Cilt / Sayı / Sayfa | 15 / 2 / 251–262 | DOI | 10.1515/GMJ.2008.251 |
| 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 |