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On the variation of the
Bernstein polynomials of a function of unbounded
variation
Martin Edward Price |
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Vol. 27 (1968), No. 1, 119–122
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Abstract |
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The behavior of the ordinary Bernstein polynomials, Bnf, for discontinuous functions f can be quite erratic. The purpose of this note is to give an example of a function f which is quite irregular on the rationals but such that the total variation, V Bnf of Bnf tends to zero with n. |
Mathematical Subject Classification
Primary: 41.15
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Milestones
Received: 22 May 1967
Published: 1 October 1968
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Authors |
| Martin Edward Price | |
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