Approximation of multivariate function by using new multivariate Bernstein α-polynomials

In this paper the approximation of multivariate function by using multivariate Bernstein α-polynomials is considered. The Bernstein α-polynomials are given and an identity is constructed. With these the well-known multivariate Bernstein approximation is expanded. The main result is for any continuou...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 154; no. 2; pp. 335 - 345
Main Authors:	Hou, Zai-En, Zhang, Ke-Cun
Format:	Journal Article
Language:	English
Published:	New York, NY Elsevier Inc 05.07.2004 Elsevier
Subjects:	Acceleration of convergence Approximation Bernstein polynomial Exact sciences and technology Mathematics Multivariate function Numerical analysis Numerical analysis. Scientific computation Numerical approximation Sciences and techniques of general use Multivariate function 65B05 Approximation 65D15 Bernstein polynomial Numerical approximation Numerical analysis Applied mathematics N variable function Continuous function Function approximation
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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