q -Szász–Mirakyan–Kantorovich type operators preserving some test functions

In this paper, we introduce a q -analogue of the Szász–Mirakyan–Kantorovich operators and we propose two different modifications of the q -Szász–Mirakyan–Kantorovich operators. These modifications preserve some test functions. We also examine the rate of convergence for the constructed operators by...

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Bibliographic Details
Published in:Applied mathematics letters 2011-09, Vol.24 (9), p.1588-1593
Main Authors: Oerkcue, Mediha, Dooru, Oguen
Format: Article
Language:English
Subjects:
[formula omitted]-integers
[formula omitted]-Szász–Mirakyan operators
Acceleration of convergence
Construction
Continuity
Convergence
Exact sciences and technology
Mathematical analysis
Mathematics
Modulus of continuity
Numerical analysis
Numerical analysis. Scientific computation
Operators
Preserves
Preserving
Sciences and techniques of general use
Szász–Mirakyan–Kantorovich operators
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Summary:In this paper, we introduce a q -analogue of the Szász–Mirakyan–Kantorovich operators and we propose two different modifications of the q -Szász–Mirakyan–Kantorovich operators. These modifications preserve some test functions. We also examine the rate of convergence for the constructed operators by means of modulus of continuity.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2011.04.001