On equivalent normalizations of functional spaces associated with the generalized Gegenbauer shift
Yazarlar (2)
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Analysis Mathematica (Q4) | ||
| Dergi ISSN | 0133-3852 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2008 |
| Cilt / Sayı / Sayfa | 34 / 2 / 83–103 | DOI | 10.1007/s10476-008-0201-y |
| Özet |
| Taylor-Delsart formula is elaborated in the paper for functions of the generalized Gegenbauer shift. This formula is utilized to construct a version of the Gegenbauer shift modulus of smoothness of order k which for k = 1 reduces to the modulus of smoothness of the first order. By means of this modulus and Peetre's K-functional, an interpolation theorem is obtained. Equivalent normalizations are obtained for functional spaces associated with the generalized Gegenbauer shift. |
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