Pointwise Weighted Approximation of Functions with Endpoint Singularities by Combinations of Bernstein Operators

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

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

We give direct and converse results for the weighted approximation of functions with inner singularities by a new type of Bernstein operators

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

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 results of the weighted approximation of this new type combinations are obtained.Combinations of Bernstein polynomials; Functions with inner singularities; Weighted approximation; Direct and inverse results

Pointwise Approximation Theorems for Combinations of Bernstein Polynomials With Inner Singularities

We give direct and inverse theorems for the weighted approximation of functions with inner singularities by combinations of Bernstein polynomials.Comment: 13 pages, late

Direct and inverse theorems for Bernstein operators with inner singularities

We introduce a new type of Bernstein operators, which can be used to approximate the functions with inner singularities. The direct and inverse results of the weighted approximation of this new type of combinations are given.Comment: 13 pages, late