On estimating the approximation of locally summable functions by Gegenbauer singular integrals
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Baku State University, Azerbaycan
Elman J. Ibrahimov Azerbaijan State Oil And Industry University, Azerbaycan
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Georgian Mathematical Journal | ||
| Dergi ISSN | 1072-947X Dergi Bilgileri (2008) | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2008 |
| Cilt / Sayı / Sayfa | 15 / 2 / 251–262 | DOI | 10.1515/GMJ.2008.251 |
| Makale Linki | https://www.researchgate.net/profile/Vagif-Guliyev/publication/255541743_On_Estimating_the_Approximation_of_Locally_Summable_Functions_by_Gegenbauer_Singular_Integrals/links/0a85e53629950474f2000000/On-Estimating-the-Approximation-of-Locally-Summable | ||
| UAK Araştırma Alanları |
Fen Bilimleri ve Matematik
|
||
| Özet |
| Using the generalized shift operator (GSO) generated by the Gegenbauer differential operator we introduce the notion of a Lebesgue–Gegenbauer (LG)-point of a summable function f on the interval [1,∞) and prove that almost all points of this interval are (LG)-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 |
| Atıf Sayıları | |
| Web of Science | 4 |
| Scopus | 2 |
| Google Scholar | 8 |