In the present paper we introduce a q-analogue of the Baskakov-Kantorovich operators and investigate their weighted statistical approximation properties. By using a weighted modulus of smoothness, we give some direct estimations for error in case 0 < q < 1.
@article{bwmeta1.element.doi-10_2478_s11533-009-0055-y,
author = {Vijay Gupta and Cristina Radu},
title = {Statistical approximation properties of q-Baskakov-Kantorovich operators},
journal = {Open Mathematics},
volume = {7},
year = {2009},
pages = {809-818},
zbl = {1183.41015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0055-y}
}
Vijay Gupta; Cristina Radu. Statistical approximation properties of q-Baskakov-Kantorovich operators. Open Mathematics, Tome 7 (2009) pp. 809-818. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0055-y/
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