Scopus
YÖKSİS Eşleşti
Approximation by modified Szász-Durrmeyer operators
Periodica Mathematica Hungarica · Mart 2016
YÖKSİS Kayıtları
Approximation by modified Szász Durrmeyer operators
Periodica Mathematica Hungarica · 2016 SCI-Expanded
PROFESÖR TUNCER ACAR →
Makale Bilgileri
DergiPeriodica Mathematica Hungarica
Yayın TarihiMart 2016
Cilt / Sayfa72 · 64-75
Scopus ID2-s2.0-84938542903
Özet
The main goal of this paper is to introduce Durrmeyer modifications for the generalized Szász-Mirakyan operators defined in (Aral et al.; in Results Math 65:441-452, 2014). The construction of the new operators is based on a function ρ which is continuously differentiable infin; times on ρ 0 = 0 and inf x 0, ∞ ρ ′ x ≥ 1. Involving the weighted modulus of continuity constructed using the function ρ, approximation properties of the operators are explored: uniform convergence over unbounded intervals is established and a quantitative Voronovskaya theorem is given. Moreover, we obtain direct approximation properties of the operators in terms of the moduli of smoothness. Our results show that the new operators are sensitive to the rate of convergence to f, depending on the selection of ρ. For the particular case ρ x = x, the previous results for classical Szász-Durrmeyer operators are captured.
Yazarlar (2)
1
Tuncer Acar
2
Gulsum Ulusoy
Anahtar Kelimeler
Quantitative Voronovskaya theorem
Szász-Durrmeyer operators
Weighted modulus of continuity
Kurumlar
Kirikkale Üniversitesi
Kirikkale Turkey
Metrikler
49
Atıf
2
Yazar
3
Anahtar Kelime