most citedPointwise Approximation Theorems for Combinations of Bernstein Polynomials With Inner Singularities

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math.FA20101 cited

Pointwise Approximation Theorems for Combinations of Bernstein Polynomials With Inner Singularities

Wen-Ming Lu, Lin Zhang

We give direct and inverse theorems for the weighted approximation of functions with inner singularities by combinations of Bernstein polynomials.

math.FA2010

Direct and Inverse Estimates for Combinations of Bernstein Polynomials with Endpoint Singularities

Wen-Ming Lu, Lin Zhang

We give direct and inverse theorems for the weighted approximation of functions with endpoint singularities by combinations of Bernstein polynomials by the th Ditzian-Totik modu…

math.FA2010

Pointwise weighted approximation of functions with endpoint singularities by combinations of Bernstein operators

Wen-ming Lu, Lin Zhang

We give direct and inverse theorems for the weighted approximation of functions with endpoint singularities by combinations of Bernstein operators.

math.FA2010

Pointwise weighted approximation of functions with inner singularities by combinations of Bernstein operators

Wen-ming Lu, Lin Zhang

We introduce another new type of combinations of Bernstein operators in this paper, which can be used to approximate the functions with inner singularities. The direct and inverse…

math.FA2010

Pointwise weighted approximation of functions with inner singularities by Bernstein operators

Wen-ming Lu, Lin Zhang

We consider the pointwise weighted approximation by Bernstein operators with inner singularities. The related weight functions are weights In thi…

math.FA2010

Another weighted approximation of functions with singularities by combinations of Bernstein operators

Wen-ming Lu, Lin Zhang

A new type of combinations of Bernstein operators is given in [1]. Here, we introduce another one, which can be used to approximate the functions with singularities. The direct and…