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摘要
In this paper, we introduce a new type lambda-Bernstein operators with parameter lambda epsilon[- 1, 1], we investigate a Korovkin type approximation theorem, establish a local approximation theorem, give a convergence theorem for the Lipschitz continuous functions, we also obtain a Voronovskaja-type asymptotic formula. Finally, we give some graphs and numerical examples to show the convergence of B-n,B-lambda(f; x) to f (x), and we see that in some cases the errors are smaller than B-n(f) to f.
