Abstract

The aim of this paper is to give direct and converse theorems for the approximation by using a discretely defined method L n * (see D. H. Mache [10], which is a modification of the Lagrange operator. Furthermore we obtain with a matrix construction technique (see M. D. Ye and D. X. Zhou [11]) a Lagrange-type operator ℒn, for which we get a characterization for Lipschitz functions by the approximation rate of these methods.

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