Quantitative q-Voronovskaya and q-Gruss-Voronovskaya-type results for q-Szasz operators
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Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, we mainly study quantitative Voronovskaya-type theorems for q-Szasz operators defined in [19]. We consider weighted spaces of functions and the corresponding weighted modulus of continuity. We obtain the quantitative q-Voronovskaya-type theorem and the q-Gruss-Voronovskaya-type theorem in terms of the weighted modulus of continuity of q-derivatives of the approximated function. In this way, we either obtain the rate of pointwise convergence of q-Szasz operators or we present these results for a subspace of continuous functions, although the classical ones are valid for differentiable functions.
Açıklama
Acar, Tuncer/0000-0003-0982-9459
Anahtar Kelimeler
q-Szasz operators, Voronovskaya-type theorem, weighted modulus of continuity, q-Gruss-Voronovskaya-type theorem
Kaynak
Georgian Mathematical Journal
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
23
Sayı
4
Künye
closedAccess
