Approximation Theorems for Generalized Complex Kantorovich‐Type Operators
Copyright policy )Approximation Theorems for Generalized Complex Kantorovich‐Type Operators
The order of simultaneous approximation and Voronovskaja‐type results with quantitative estimate for complex q‐Kantorovich polynomials (q > 0) attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in {z ∈ ℂ : |z| < R}, R > q, the rate of approximation by the q‐Kantorovich operators (q > 1) is of order q−n versus 1/n for the classical Kantorovich operators.
Q-Bernstein Polynomials, Compact-Disks, Stancu Polynomials, Saturation, Approximation in the complex plane, Kantorovich polynomials, QA1-939, analytic functions on disks, Iterations, Convergence, approximation, Mathematics
Q-Bernstein Polynomials, Compact-Disks, Stancu Polynomials, Saturation, Approximation in the complex plane, Kantorovich polynomials, QA1-939, analytic functions on disks, Iterations, Convergence, approximation, Mathematics
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