1999Shuxue jikanRequires access

On the Rate of Convergence for Bernstein Operators

Xie Lin

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Abstract

In the present paper we establish uniform approximation theorems for Bernstein operators on a class of functions. Moreover,we would like to give a short proof of the inverse theorem for Bernstein operators.

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What this paper is about

In the present paper we establish uniform approximation theorems for Bernstein operators on a class of functions. Moreover,we would like to give a short proof of the inverse theorem for Bernstein operators.

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Available abstract

In the present paper we establish uniform approximation theorems for Bernstein operators on a class of functions. Moreover,we would like to give a short proof of the inverse theorem for Bernstein operators.

Key concepts: Mathematics, Baskakov operator, Bernstein polynomial, Convergence (economics), Class (philosophy), Operator theory, Rate of convergence, Inverse

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