Bernstein-Type Polynomials on Several Intervals

J. Szabados ()
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J. Szabados: Alfréd Rényi Institute of Mathematics

A chapter in Progress in Approximation Theory and Applicable Complex Analysis, 2017, pp 301-315 from Springer

Abstract: Abstract We construct the analogues of Bernstein polynomials on the set J s of s finitely many intervals. Two cases are considered: first when there are no restrictions on J s , and then when J s has a so-called T-polynomial. On such sets we define approximating operators resembling the classic Bernstein polynomials. Reproducing and interpolation properties as well as estimates for the rate of convergence are given.

Keywords: Bernstein polynomial; T-polynomial; Set of intervals; Rate of convergence; 41A10; 41A25 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-49242-1_14

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DOI: 10.1007/978-3-319-49242-1_14

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