Approximation Properties of Schurer Type q-Phillips Operators
Since 1997 Phillips G M proposed and studied the q-Bernstein operators,q-calculus has been widely used in approxima-tion theory.In this paper,we introduce a class of Schurer type q-Phillips operators which preserve linear functions,and study some ap-proximation properties of the operators by using the relevant theory of q-calculus,a Korovkin type convergence theorem and a Voronovskaja type result are obtained for the operators,and some estimates of the convergence rate are given.
schurer type q-Phillips operatorsq-integralKorovich type theoremVoronovskaja type resultconvergence
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