Abstract

In this paper we represent new quantitative variants of Voronovskaja’s Theorem for Schoenberg variation-diminishing spline operator. We estimate the rate of uniform convergence for f ∈C2[0,1] and generalize the results obtained earlier by Goodman, Lee, Sharma, Gonska etc. Mathematics subject classification (2010): 41A10, 41A15, 41A17, 41A25, 41A17, 41A25, 41A36.

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