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
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 |
| 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 | ||
| 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 |