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On equivalent normalizations of functional spaces associated with the generalized Gegenbauer shift   
Yazarlar
 Vagıf GULIYEV Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
E. J. Ibragimov
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.
Anahtar Kelimeler
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı ANALYSIS MATHEMATICA
Dergi ISSN 0133-3852
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 06-2008
Cilt No 34
Sayı 2
Sayfalar 83 / 103
Doi Numarası 10.1007/s10476-008-0201-y