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Keywords:
$q$-integers; $q$-Bernstein operators; the Hahn-Banach theorem; modulus of continuity
$q$-integers; $q$-Bernstein operators; the Hahn-Banach theorem; modulus of continuity
Summary:
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.
References:
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