Calderon reproducing formula associated with the Gegenbauer operator on the half-line
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Elman J. Ibrahimov Azerbaijan State Oil And Industry University, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Analysis and Applications (Q1) | ||
| Dergi ISSN | 0022-247X Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 11-2007 |
| Cilt / Sayı / Sayfa | 335 / 2 / 1079–1094 | DOI | 10.1016/j.jmaa.2007.02.025 |
| Makale Linki | https://www.sciencedirect.com/science/article/pii/S0022247X07001618 | ||
| Özet |
| In this paper, we introduce the generalized shift operator generated by the Gegenbauer differential operator [Formula: see text] , and define a generalized convolution ⊗ on the half-line corresponding to the Gegenbauer differential operator. We investigate the Calderon reproducing formula associated with the convolution ⊗ involving finite Borel measures, leading to results on the Lp-norm and pointwise approximation for functions on the half-line. |
| Anahtar Kelimeler |
| Calderon reproducing formula | Gegenbauer differential operator | Generalized convolution | Generalized shift operator |
Science Direct
Calderon reproducing formula associated with the Gegenbauer operator on the half-line
| Atıf Sayıları | |
| Google Scholar | 11 |
| Web of Science | 6 |