Scopus
YÖKSİS Eşleşti
Quantitative q-Voronovskaya and q-Grüss-Voronovskaya-type results for q-Szász operators
Georgian Mathematical Journal · Ocak 2016
YÖKSİS Kayıtları
Quantitative q Voronovskaya and q Grüss Voronovskaya type results for q Szász operators
Georgian Mathematical Journal · 2016 SCI-Expanded
PROFESÖR TUNCER ACAR →
Quantitative q Voronovskaya and q Grüss Voronovskaya type results for q Szász operators
Georgian Mathematical Journal SCI-Expanded
PROFESÖR TUNCER ACAR →
Makale Bilgileri
DergiGeorgian Mathematical Journal
Yayın TarihiOcak 2016
Cilt / Sayfa23 · 459-468
Scopus ID2-s2.0-84994517599
Özet
In the present paper, we mainly study quantitative Voronovskaya-type theorems for q-Szász operators defned 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-Grüss-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-Szász operators or we present these results for a subspace of continuous functions, although the classical ones are valid for diferentiable functions.
Yazarlar (1)
1
Tuncer Acar
Anahtar Kelimeler
Q-Grüss-Voronovskaya-type theorem
Q-Szász operators
Voronovskaya-type theorem
Weighted modulus of continuity
Kurumlar
Kirikkale Üniversitesi
Kirikkale Turkey
Metrikler
72
Atıf
1
Yazar
4
Anahtar Kelime