TY - JOUR
T1 - Stancu Polynomials Based on the $q$-Integers
AU - Xueyan Xiang
JO - Analysis in Theory and Applications
VL - 3
SP - 232
EP - 241
PY - 2012
DA - 2012/10
SN - 28
DO - http://doi.org/10.3969/j.issn.1672-4070.2012.03.003
UR - https://global-sci.org/intro/article_detail/ata/4558.html
KW - Stancu polynomial, $q$-integer, $q$-derivative, shape-preserving property, convergence rate, modulus of continuity.
AB - <p style="text-align: justify;">A new generalization of Stancu polynomials based on the $q$-integers and a nonnegative integer $s$ is firstly introduced in this paper. Moreover, the shape-preserving and convergence properties of these polynomials are also investigated.</p>