Scopus
🔓 Açık Erişim
Stancu type generalization of szász-durrmeyer operators involving brenke-type polynomials
Filomat · Ocak 2019
Makale Bilgileri
DergiFilomat
Yayın TarihiOcak 2019
Cilt / Sayfa33 · 855-868
Scopus ID2-s2.0-85077866822
Erişim🔓 Açık Erişim
Özet
In the present paper, we introduce a Stancu type generalization of Szász-Durrmeyer operators including Brenke type polynomials. We give convergence properties of these operators via Korovkin’s theorem and the order of convergence by using a classical approach. As an example, we consider a Stancu type generalization of the Durrmeyer type integral operators including Hermite polynomials of variance v. Then, we obtain the rates of convergence by using the second modulus of continuity. Also, for these operators including Hermite polynomials of variance v, we present a Voronovskaja type theorem and r-th order generalization of these positive linear operators.
Yazarlar (3)
1
Rabia Aktaş
2
Di̇lek Söylemez
3
Fatma Taşdelen
ORCID: 0000-0002-6291-1649
Anahtar Kelimeler
Brenke type polynomials
Hermite polynomials
Modulus of continuity
Szász-Durrmeyer operator
Kurumlar
Ankara Üniversitesi
Ankara Turkey
Metrikler
5
Atıf
3
Yazar
4
Anahtar Kelime