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

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摘要

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.

论文关键词:Positive linear operator,GBS operators,B-continuous functions,Mixed modulus of continuity,Schurer–Stancu type operator,q-Integers

论文评审过程:Available online 7 March 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.02.030