Certain positive linear operators
Matematičeskie zametki, Tome 23 (1978) no. 5, pp. 659-669
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Properties (including the approximating ones) are investigated of positive linear operators $L_n(f; x)$ for which the relation $$ L_n((t-x)f(t);x)=\frac{\varphi(x)}{n}L_n'(f(t); x) $$ is fulfilled, as well as the properties of operators $L_n^{(m)}(f; x)$. The results are applicable, in particular, to Bernstein polynomials, to the operators of Mirak'yan, Baskakov, and others.