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Degree of Approximation for Bivariate Generalized Bernstein Type Operators

Results in Mathematics · Haziran 2018

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YÖKSİS Kayıtları
Degree of Approximation for Bivariate Generalized Bernstein Type Operators
Results in Mathematics · 2018 SCI-Expanded
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Makale Bilgileri

DergiResults in Mathematics
Yayın TarihiHaziran 2018
Cilt / Sayfa73
Özet In this paper we study an extension of the bivariate generalized Bernstein operators based on a non-negative real parameters. For these operators we obtain the order of approximation using Peetre’s K-functional, a Voronovskaja type theorem and the degree of approximation by means of the Lipschitz class. Further, we consider the Generalized Boolean Sum operators of generalized Bernstein type and we study the degree of approximation in terms of the mixed modulus of continuity. Finally, we show the comparisons by some illustrative graphics in Maple for the convergence of the operators to certain functions.

Yazarlar (2)

1
Tuncer Acar
2
Arun Kajla

Anahtar Kelimeler

B-continuous function B-differentiable function GBS operators mixed modulus of smoothness

Kurumlar

Central University of Haryana
Mahendergarh India
Selçuk Üniversitesi
Selçuklu Turkey

Metrikler

40
Atıf
2
Yazar
4
Anahtar Kelime

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