Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the q-integers

EMU I-REP

Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the q-integers

Mahmudov, Nazim I.
URI: http://dx.doi.org/10.2478/s11533-010-0040-5
http://hdl.handle.net/11129/3471
Date: 2010

Abstract:

In the present paper we introduce and investigate weighted statistical approximation properties of a q-analogue of the Baskakov and Baskakov-Kantorovich operators. By using a weighted modulus of smoothness, we give some direct estimations for error in the case 0 < q < 1.

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