Article ID Journal Published Year Pages File Type
472613 Computers & Mathematics with Applications 2011 5 Pages PDF
Abstract

For continuous functions ff and gg, we prove that the Bernstein operator BnBn is multiplicative for all n≥1n≥1 and all x∈2[0,1]x∈2[0,1] if and only if at least one of the functions ff and gg is a constant function. Some other variants of multiplicativity are also considered.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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