Approximation Theorems for Generalized Complex Kantorovich-Type Operators

N. I. Mahmudov and M. Kara

Journal of Applied Mathematics, 2012, vol. 2012, 1-14

Abstract:

The order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex q -Kantorovich polynomials ( ) attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in , , the rate of approximation by the q -Kantorovich operators ( ) is of order versus for the classical Kantorovich operators.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:454579

DOI: 10.1155/2012/454579

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