Certain positive linear operators
Autor: | Yu. I. Volkov |
---|---|
Rok vydání: | 1978 |
Předmět: | |
Zdroj: | Mathematical Notes of the Academy of Sciences of the USSR. 23:363-368 |
ISSN: | 1573-8876 0001-4346 |
DOI: | 10.1007/bf01789002 |
Popis: | Properties (including the approximating ones) are investigated of positive linear operators Ln(f; x) for which the relation $$L_n \left( {\left( {t - x} \right)f\left( t \right); x} \right) = \frac{{\varphi \left( x \right)}}{n}L'_n \left( {f\left( t \right); x} \right)$$ is fulfilled, as well as the properties of operators Ln (m)(f;x). The results are applicable, in particular, to Bernstein polynomials, to the operators of Mirak'yan, Baskakov, and others. |
Databáze: | OpenAIRE |
Externí odkaz: |