Approximation theorems for the new construction of Balazs operators and its applications
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Balazs operators are an influential tool that can be used to approximate a function on the unbounded interval [0, infinity). In this study, a new construction of Balazs operators which depending upon on a function rho(x) has been introduced. The function rho(x) plays a significant role in this construction due to the fact that the new operator preserves definitely two test functions from the set of {1, rho(x), rho(2)(x)}. In this direction, the approximation properties of this newly defined operators are established, such as degree of approximation and Voronovskaya type theorems. Finally, we presented a set of computational examples in order to validate the new construction of operator is an approximation procedure.
Açıklama
Anahtar Kelimeler
Balazs Type Operators; Voronovskaya Type Theorem; Rate Of Convergence; Weighted Approximation; Numerical Experiments, Bezier Variant
Kaynak
Mathematica Slovaca
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
72
Sayı
5
