| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Elman J. Ibrahimov
|
| Özet |
| In this paper, we introduce the generalized shift operator generated by the Gegenbauer differential operator D-lambda=(x(2) - 1)(1/2-lambda)d/dx(x(2)-1)(lambda+1/2) d/dx, and define a generalized convolution circle times on the half-line corresponding to the Gegenbauer differential operator. We investigate the Calderon reproducing formula associated with the convolution circle times involving finite Borel measures, leading to results on the L-p-norm and pointwise approximation for functions on the half-line. (c) 2007 Elsevier Inc. All rights reserved. |
| Anahtar Kelimeler |
| Calderon reproducing formula | Gegenbauer differential operator | Generalized convolution | Generalized shift operator |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
| Dergi ISSN | 0022-247X |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 11-2007 |
| Cilt No | 335 |
| Sayı | 2 |
| Sayfalar | 1079 / 1094 |
| Doi Numarası | 10.1016/j.jmaa.2007.02.025 |
| Atıf Sayıları | |
| WoS | 6 |
| SCOPUS | 6 |
