Moment Sequences and the Bernstein Polynomials*
- 1 August 1969
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 12 (4) , 401-411
- https://doi.org/10.4153/cmb-1969-050-8
Abstract
The Bernstein polynomials(1.1)and the Bernstein power series(1.2)have been the subject of much research (e. g. [1; 2; 3; 6; 7; 8]). It is the purpose of this paper to demonstrate the relationship between these linear operators and certain classes of moment sequences defined below.Keywords
This publication has 5 references indexed in Scilit:
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- On a generalized Bernstein polynomial of Jakimovski and LeviatanMathematische Zeitschrift, 1968
- Bernstein Power SeriesCanadian Journal of Mathematics, 1964
- Bernsteinsche PotenzreihenStudia Mathematica, 1960
- Probabilistic proof of a theorem on the approximation of continuous functions by means of generalized Bernstein polynomialsActa Mathematica Hungarica, 1957