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Improve the approximation order of Bernstein type operators

Improve the approximation order of Bernstein type operators

In this study, we present a generalization of the well-known Bernstein operators based on an odd positive integer r denoted by K_(n,r) (f;x), first, we begin by studying the simultaneous approximation where we prove that the operator K_(n,r)^((s) ) (f;x) convergence to the function f^((s) ) (x) then we introduce …