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

摘要

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.