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Physical Sciences and Engineering Mathematics Analysis

The lower estimate for the linear combinations of Bernstein–Kantorovich operators

Article ID Journal Published Year Pages File Type
4607828 Journal of Approximation Theory 2010 10 Pages PDF
Abstract

In this paper we obtain a new strong type of Steckin inequality for the linear combinations of Bernstein–Kantorovich operators, which gives the optimal approximation rate. On the basis of this inequality, we further obtain the lower estimate for these operators.

Keywords
CombinationModulus of smoothness
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
The lower estimate for the linear combinations of Bernstein–Kantorovich operators
Authors
Linsen Xie,
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Journal
Journal of Approximation Theory
Journal: Journal of Approximation Theory
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Modulus of smoothness
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