Numerical and theoretical approximation results for Schurer–Stancu operators with shape parameter λ

In this paper, we focus on pointwise and weighted approximation properties of newly defined Stancu variant of λ -Schurer operators. We establish a direct local approximation theorem and obtain a global approximation formula. These newly defined operators reduce to classical Schurer, Bernstein, Stanc...

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Bibliographic Details
Published in:Computational & applied mathematics 2022-06, Vol.41 (4), Article 181
Main Authors: Ansari, Khursheed J., Özger, Faruk, Ödemiş Özger, Zeynep
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied physics
Approximation
Computational mathematics
Computational Mathematics and Numerical Analysis
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Operators
Parameters
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Summary:In this paper, we focus on pointwise and weighted approximation properties of newly defined Stancu variant of λ -Schurer operators. We establish a direct local approximation theorem and obtain a global approximation formula. These newly defined operators reduce to classical Schurer, Bernstein, Stancu, λ -Bernstein, λ -Stancu, λ -Schurer operators for the special cases of parameters. Certain illustrative and numerical examples are given to verify the convergence behavior and accuracy of the proposed operators. The numerical evaluations that obtained in this study may facilitate understanding and interpreting main results of this paper for the reader.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-022-01877-4