On multiplicativity of the Bernstein operator |
| |
| Authors: | Gancho Tachev |
| |
| Affiliation: | aDepartment of Mathematics, University of Architecture, Hr. Smirnenski 1, Blvd., BG-1046, Sofia, Bulgaria |
| |
| Abstract: | For continuous functions f and g, we prove that the Bernstein operator Bn is multiplicative for all n≥1 and all x∈20,1] if and only if at least one of the functions f and g is a constant function. Some other variants of multiplicativity are also considered. |
| |
| Keywords: | Bernstein operator Basis polynomials Multiplicativity Grü ss-type inequalities |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
