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Pacific Journal of Mathematics
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Iterates of bernstein polynomials

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Abstract

Bn(f) transforms each function defined on [0,1] into itsBernstein polynomial of degree n. In this paper we studythe convergence of the iterates Bn(k)(f) as k → 蜴 oo both in thecase that k is independent of n and (for polynomial f) whenk is a function of n. © 1967 by Pacific Journal of Mathematics.

Date

01 Jan 1967

Publication

Pacific Journal of Mathematics

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