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
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 |
| 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 |