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Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 11 > No. 3


Stancu-Durrmeyer Type Operators Based on q-Integers

PP: 767-775
Trapti Neer, P. N. Agrawal, Serkan Araci,
In this paper, we construct the Stancu-Durrmeyer-type modification of q-Bernstein operators by means of q-Jackson integral. Here, we establish moment estimates and some direct results which include basic convergence theorem, local approximation theorem and approximation for a Lipschitz type space. Also, we establish the Korovkin type A-statistical approximation theorem and rates of A-statistical convergence in terms of the modulus of continuity.

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