Korovkin type theorem in the space $C_{b}[0,\infty)$
Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary
Keywords:
Korovkin theorem; modulus of continuity; $K$-functional; $q$-integers; $q$-BaskakovAbstract
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.
Mathematics Subject Classification (2010): 41A36, 41A25.
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