Abstract: As an important type of polynomial approximation, approximation of functions by Bernstein operators is an important topic in approximation theory and computational theory. This paper gives global and pointwise estimates for weighted approximation of functions with singularities by Bernstein operators. The main results are the Jackson’s estimates of functions f∈(W_w,λ)² and f∈C_w, which extends the result of (Della Vecchia et al., 2004).

Key words: Bernstein operators, Functions with singularities, Weighted approximation, Pointwise estimates

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