Approximating B-continuous functions using GBS operators of Bernstein–Schurer–Stancu type based on q-integers

Dan Bărbosu and Carmen Violeta Muraru

Applied Mathematics and Computation, 2015, vol. 259, issue C, 80-87

Abstract: A GBS (Generalized Boolean Sum) operator of Bernstein–Schurer–Stancu type based on q-integers is constructed and the approximation of B-continuous functions using the above operator is studied. A uniform convergence theorem is established and the rate of convergence in terms of mixed modulus of continuity is determined.

Keywords: Positive linear operator; GBS operators; B-continuous functions; Mixed modulus of continuity; Schurer–Stancu type operator; q-Integers (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:80-87

DOI: 10.1016/j.amc.2015.02.030

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