Abstract—In 2009, Nowak introduced q-Bernstein-Stancu polynomials , ; q Bn f x . When 0 , , ; q n B f x reduces to the well-known q-Bernstein polynomials introduced by Phillips in 1997; when q 1, , ; q n B f x reduces to Bernstein-Stancu polynomials introduced by Stancu in1968; when q 1and 0, we obtain classical Bernstein polynomials. This paper deals with iterates properties of q-Bernstein-Stancu operators jn , ; n B f q x in the case q 0,1, 0, f 0,1 , where both n j and n .
Index Terms—q-Bernstein-Stancu polynomials, iterates properties, uniform convergence.
q-Bernstein-Stancu polynomials, iterates properties, uniform convergence.
[PDF]
Cite:Yali Wang and Yinying Zhou, "Iterates Properties for q-Bernstein-Stancu Operators," International Journal of Modeling and Optimization vol. 3, no. 4, pp. 362-368, 2013.
