Approximation of Some Classes of Functions by Landau Type Operators
[ X ]
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Birkhauser
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper aims to highlight a class of integral linear and positive operators of Landau type which have affine functions as fixed points. We focus to reveal approximation properties both in Lp spaces and in weighted Lp spaces (1 ? p< ?). Also, we give an extension of the operators to approximate real-valued vector functions. In this case, the study pursues the approximation of continuous functions on convex compacts. The evaluation of the rate of convergence in one and multidimensional cases is performed by using adequate moduli of smoothness. © 2020, Springer Nature Switzerland AG.
Açıklama
Anahtar Kelimeler
Korovkin theorem, Landau operator, modulus of smoothness, weighted space
Kaynak
Results in Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
76
Sayı
1
