Simultaneous approximation by Schurer type operators


Dan BărbosuMihai Bărbosu


Abstract

carpathian_2003_19_001_006_abstract

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carpathian_2003_19_001_006

Let p be a given non negative integer. For any m ∈ N, let Bem,p : C [0, 1 + p]  → C [0, 1]  Bem,pf  (x) = mX +p k=0 pem,k(x)f(k/m) be the Schurer operators (introduced and studied by Schurer, K., in 1962). Some approximation properties were studied in ([4]). In the present paper we study properties of simultaneous approximation for Bem,p. As particular cases, we get similar properties for Bernstein operators.

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Author(s)

Bărbosu, Dan, Bărbosu, Mihai