On the Convergence of a Family of Chlodowsky Type Bernstein-Stancu-Schurer Operators
Joint Authors
Cai, Qing-Bo
Shu, Lian-Ta
Zhou, Guorong
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-18
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We construct a new family of univariate Chlodowsky type Bernstein-Stancu-Schurer operators and bivariate tensor product form.
We obtain the estimates of moments and central moments of these operators, obtain weighted approximation theorem, establish local approximation theorems by the usual and the second order modulus of continuity, estimate the rate of convergence, give a convergence theorem for the Lipschitz continuous functions, and also obtain a Voronovskaja-type asymptotic formula.
For the bivariate case, we give the rate of convergence by using the weighted modulus of continuity.
We also give some graphs and numerical examples to illustrate the convergent properties of these operators to certain functions and show that the new ones have a better approximation to functions f for one dimension.
American Psychological Association (APA)
Shu, Lian-Ta& Zhou, Guorong& Cai, Qing-Bo. 2018. On the Convergence of a Family of Chlodowsky Type Bernstein-Stancu-Schurer Operators. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1186489
Modern Language Association (MLA)
Shu, Lian-Ta…[et al.]. On the Convergence of a Family of Chlodowsky Type Bernstein-Stancu-Schurer Operators. Journal of Function Spaces No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1186489
American Medical Association (AMA)
Shu, Lian-Ta& Zhou, Guorong& Cai, Qing-Bo. On the Convergence of a Family of Chlodowsky Type Bernstein-Stancu-Schurer Operators. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1186489
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186489