NDLI: A generalization of the Bernstein polynomials

Content Provider	Scilit
Author	Oruç, Haul Phillips, George M. Davis, Philip J.
Copyright Year	1999
Description	This paper is concerned with a generalization of the classical Bernstein polynomials where the function is evaluated at intervals which are in geometric progression. It is shown that, when the function is convex, the generalized Bernstein polynomials $B_{n}$ are monotonic in n, as in the classical case.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/33202C85EFAA38D815B6BAE6168A666E/S0013091500020332a.pdf/div-class-title-a-generalization-of-the-bernstein-polynomials-div.pdf
Ending Page	413
Page Count	11
Starting Page	403
ISSN	00130915
e-ISSN	14643839
DOI	10.1017/s0013091500020332
Journal	Proceedings of the Edinburgh Mathematical Society
Issue Number	2
Volume Number	42
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1999-06-01
Access Restriction	Open
Subject Keyword	Proceedings of the Edinburgh Mathematical Society Applied Mathematics Bernstein Polynomial
Content Type	Text
Resource Type	Article
Subject	Mathematics

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A generalization of the Bernstein polynomials