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Local Approximation Properties for the New Type q-Stancu-Durrmeyer Operators
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In this article, we propose a new kind of q-Stancu-Durrmeyer operators (or shortly q-SD operators). We calculate first and second order moments, for and we give an estimation for the second order central moment, . Furthermore, through the use of the second modulus of continuity, we invent approximation properties of the q-SD operators in the local sense and by using order Lipschitz kind maximal function, we give a direct estimation for the q-SD operators again in the local sense.
Osmaniye Korkut Ata Universitesi
Title: Local Approximation Properties for the New Type q-Stancu-Durrmeyer Operators
Description:
In this article, we propose a new kind of q-Stancu-Durrmeyer operators (or shortly q-SD operators).
We calculate first and second order moments, for and we give an estimation for the second order central moment, .
Furthermore, through the use of the second modulus of continuity, we invent approximation properties of the q-SD operators in the local sense and by using order Lipschitz kind maximal function, we give a direct estimation for the q-SD operators again in the local sense.
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