Scopus
YÖKSİS Eşleşti
The new forms of voronovskaya’s theorem in weighted spaces
Positivity · Mart 2016
YÖKSİS Kayıtları
The new forms of Voronovskaya s theorem in weighted spaces
Positivity · 2016 SCI-Expanded 1 atıf
PROFESÖR TUNCER ACAR →
Makale Bilgileri
DergiPositivity
Yayın TarihiMart 2016
Cilt / Sayfa20 · 25-40
Scopus ID2-s2.0-84929094250
Özet
The Voronovskaya theorem which is one of the most important pointwise convergence results in the theory of approximation by linear positive operators (l.p.o) is considered in quantitative form. Most of the results presented in this paper mainly depend on the Taylor’s formula for the functions belonging to weighted spaces. We first obtain an estimate for the remainder of Taylor’s formula and by this estimate we give the Voronovskaya theorem in quantitative form for a class of sequences of l.p.o. The Grüss type approximation theorem and the Grüss-Voronovskaya-type theorem in quantitative form are obtained as well. We also give the Voronovskaya type results for the difference of l.p.o acting on weighted spaces. All results are also given for wellknown operators, Szasz-Mirakyan and Baskakov operators as illustrative examples. Our results being Voronovskaya-type either describe the rate of pointwise convergence or present the error of approximation simultaneously.
Yazarlar (3)
1
Tuncer Acar
2
Ali Aral
ORCID: 0000-0002-2024-8607
3
Ioan Raşa
Anahtar Kelimeler
Difference of operators
Grüss-type-Voronovskaya theorem
Voronovskaya theorem
Weighted modulus of continuity
Kurumlar
Kirikkale Üniversitesi
Kirikkale Turkey
Universitatea Tehnica din Cluj-Napoca
Cluj Napoca Romania
Metrikler
89
Atıf
3
Yazar
4
Anahtar Kelime