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Variation Diminishing Properties of Bernstein Polynomials on a Tetrahedron

✍ Scribed by A. Bhatt; A. Ojha

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
269 KB
Volume
79
Category
Article
ISSN
0021-9045

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✦ Synopsis

Goodman has recently studied certain variation diminishing properties of Bernstein polynomials on triangles. Introducing analogous definitions for the variation of a trivariate function, we study in the present paper corresponding results for the Bernstein polynomials defined on a tetrahedron. We have also extended these results to arbitrary dimension. 1994 Academic Press. Inc.

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