Local Approximation Properties for the New Type q-Stancu-Durrmeyer Operators

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Osmaniye Korkut Ata Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Volume:7 Issue:1
Local Approximation Properties for the New Type q-Stancu-Durrmeyer Operators

Local Approximation Properties for the New Type q-Stancu-Durrmeyer Operators

Authors : Pembe Sabancigil Özder

Pages : 310-319

Doi:10.47495/okufbed.1324813

View : 33 | Download : 31

Publication Date : 2024-01-22

Article Type : Research Paper

Abstract :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.
Keywords : q Stancu operatörleri, süreklilik modülü, lokal yaklaşım, q Bernstein polinomları

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