A Note on New Construction of Meyer-Konig and Zeller Operators and Its Approximation Properties
Yükleniyor...
Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The topic of approximation with positive linear operators in contemporary functional analysis and theory of functions has emerged in the last century. One of these operators is Meyer-Konig and Zeller operators and in this study a generalization of Meyer-Konig and Zeller type operators based on a function tau by using two sequences of functions will be presented. The most significant point is that the newly introduced operator preserves {1,tau,tau 2} instead of classical Korovkin test functions. Then asymptotic type formula, quantitative results, and local approximation properties of the introduced operators are given. Finally a numerical example performed by MATLAB is given to visualize the provided theoretical results.
Açıklama
Anahtar Kelimeler
Meyer-Konig And Zeller Operators; Modulus Of Continuity; Shape Preserving Approximation; Voronovskaya Theorem; Korovkin Type Theorem
Kaynak
Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
9
Sayı
24
