Geodesic
Approximation by $q$-Bernstein type operators
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 329-336
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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.
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.
DOI : 10.1007/s10587-011-0078-y
Classification : 33D99, 41A25, 41A36
Keywords: $q$-integers; $q$-Bernstein operators; the Hahn-Banach theorem; modulus of continuity 
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Finta, Zoltán. Approximation by $q$-Bernstein type operators. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 329-336. doi: 10.1007/s10587-011-0078-y

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