1. Approximation by $q$-Bernstein type operators Creator: Finta, Zoltán Format: bez média and svazek Type: model:article and TEXT Subject: $q$-integers, $q$-Bernstein operators, the Hahn-Banach theorem, and modulus of continuity Language: English Description: Using the $q$-Bernstein basis, we construct a new sequence $\{ L_{n} \}$ of positive linear operators in $C[0,1].$ We study its approximation properties and the rate of convergence in terms of modulus of continuity. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public