, Volume 2, Issue 1, pp 377-392

Converse theorems for approximation by bernstein polynomials in Lp[0,1] (1<p<∞)

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Abstract

The class of all continuous functions possessing n−α(1/p<α≤1) order of approximation by Bernstein polynomials inL p[0, 1] is characterized.

Communicated by Ronald A. DeVore.