On certain q-Baskakov-Durrmeyer operators

Asha R. Gairola, Girish Dobhal, Karunesh Kumar Singh

Abstract


In this paper we introduce a q−analogue of Baskakaov-beta operators. We establish Voronovskaja-type theorem and obtain local error estimates by these q−operators in uniform norm by using the Ditzian-Totik weighted modulus of smoothness for 0 < q < 1.


Keywords


q−integer; Baskakov-beta operators; Ditzian-Totik modulus of smoothness

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