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Stancu-Durrmeyer Type Operators Based on q-Integers |
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PP: 767-775 |
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doi:10.18576/amis/110317
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Author(s) |
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Trapti Neer,
P. N. Agrawal,
Serkan Araci,
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Abstract |
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| 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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