@Article{ATA-27-40,
author = {H. Sharma},
title = {Approximation Properties of rth Order Generalized Bernstein Polynomials Based on $q$-Calculus},
journal = {Analysis in Theory and Applications},
year = {2011},
volume = {27},
number = {1},
pages = {40--50},
abstract = {<p style="text-align: justify;">In this paper we introduce a generalization of Bernstein polynomials based on $q$ calculus. With the help of Bohman-Korovkin type theorem, we obtain $A$−statistical approximation properties of these operators. Also, by using the Modulus of continuity and Lipschitz class, the statistical rate of convergence is established. We also gives the rate of $A$−statistical convergence by means of Peetre’s type $K$−functional. At last, approximation properties of a rth order generalization of these operators is discussed.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.1007/s10496-011-0040-8},
url = {http://global-sci.org/intro/article_detail/ata/4578.html}
}