img
Generalized gegenbauer shift and some problems of the theory of approximation of functions on the metric of L2,λ  
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Elman J. Ibrahimov
Azerbaijan National Academy of Sciences, Azerbaijan
Özet
In this paper we consider some problems of the theory of approximation of functions on interval [0, ∞) in the metric of L2,λ with weight sh2λx. The modulus of continuity used in those problems is constructed with the help of generalized Gegenbauer shift operator. The direct Jakson type theorems are proved. The function spaces of Nikolski-Besov type associated with Gegenbauer differential operator Dλ are introduced and their descriptions in terms of best approximations are obtained.
Anahtar Kelimeler
Approximation of functions | Gegenbauer transformations | Generalized gegenbauer shift | The boundedness of spectrum functions
Makale Türü Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayımlanan tam makale
Dergi Adı Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
Dergi ISSN 2306-2193
Makale Dili İngilizce
Basım Tarihi 01-2015
Cilt No 35
Sayı 4
Sayfalar 19 / 51
Atıf Sayıları
SCOPUS 6

Paylaş