On the Bézier variant of generalized Kantorovich type Balazs operators

In the present work we define the Bézier variant of the generalized Balazs–Kantorovich operators. The special cases of our operators reduce to some well known operators. We establish the rate of convergence for functions of bounded variation for the generalized operators.

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Bibliographic Details
Published in:Applied mathematics letters 2005-09, Vol.18 (9), p.1053-1061
Main Authors: Gupta, Vijay, Ispir, Nurhayat
Format: Article
Language:English
Subjects:
Approximations and expansions
Balazs operators
Bounded variation
Bézier basis
Exact sciences and technology
Mathematical analysis
Mathematics
Rate of convergence
Sciences and techniques of general use
Total variation
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Description
Summary:In the present work we define the Bézier variant of the generalized Balazs–Kantorovich operators. The special cases of our operators reduce to some well known operators. We establish the rate of convergence for functions of bounded variation for the generalized operators.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2004.11.002