Stancu-Durrmeyer Type Operators Based on q-Integers
Copyright policy )Stancu-Durrmeyer Type Operators Based on q-Integers
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. Mathematics Subject Classification(2010): 41A25, 26A15. © 2017. NSP Natural Sciences Publishing Cor.
- Hasan Kalyoncu University Turkey
q-Jackson-integral, Modulus of continuity, Peetre's K-functional, Statistical-convergence, Rate of convergence
q-Jackson-integral, Modulus of continuity, Peetre's K-functional, Statistical-convergence, Rate of convergence
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