Korovkin type theorem in the space $C_{b}[0,\infty)$

Zoltan Finta

Abstract


A Korovkin type theorem is established in the space $C_{b}[0,\infty)$ of all continuous and bounded functions on $[0,\infty)$ for a sequence of positive linear operators, the approximation error being estimated with the aid of the usual modulus of continuity. As applications we obtain quantitative results for $q$-Baskakov operators.

Keywords


Korovkin theorem; modulus of continuity; $K$-functional; $q$-integers; $q$-Baskakov

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References


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