TY - JOUR T1 - Approximation and Shape-Preserving Properties of $Q$-Stancu Operator AU - Lianying Yun , AU - Wang , Rongwei JO - Analysis in Theory and Applications VL - 3 SP - 201 EP - 210 PY - 2011 DA - 2011/08 SN - 27 DO - http://doi.org/10.1007/s10496-011-0201-9 UR - https://global-sci.org/intro/article_detail/ata/4593.html KW - $q$-Stancu operator, shape-preserving property, sign change. AB -
We introduce the definition of $q$-Stancu operator and investigate its approximation and shape-preserving property. With the help of the sign changes of $f (x)$ and $L_n = f ( f ,q;x)$ the shape-preserving property of $q$-Stancu operator is obtained.