@Article{ATA-28-2,
author = {Zhu, Y., L.,  and Qiu, L.},
title = {Convergence of Derivatives of Generalized Bernstein Operators},
journal = {Analysis in Theory and Applications},
year = {2012},
volume = {28},
number = {2},
pages = {135--145},
abstract = {<p style="text-align: justify;">In the present paper, we obtain estimations of convergence rate derivatives of the $q$-Bernstein polynomials $B_n(f,q_n;x)$ approximating to $f&#39;(x)$ as $n\to\infty$ which is a generalization of that relating the classical case $q_n = 1$. On the other hand, we study the convergence properties of derivatives of the limit $q$-Bernstein operators $B_\infty( f,q;x)$ as $q\to 1^−.$</p>},
issn = {1573-8175},
doi = {https://doi.org/10.3969/j.issn.1672-4070.2012.02.004},
url = {https://global-sci.com/article/74064/convergence-of-derivatives-of-generalized-bernstein-operators}
}