Ostrovska, Sofiya The first decade of the \(q\)-Bernstein polynomials: results and perspectives. (English) Zbl 1159.41301 J. Math. Anal. Approx. Theory 2, No. 1, 35-51 (2007). This paper is a review of the main results obtained on \(q\)-Bernstein polynomials during the first decade of the study. It contains some new results as well as those known previously and states a number of open problems. Reviewer: Shun Sheng Guo (Shijiazhuang) Cited in 38 Documents MSC: 41A10 Approximation by polynomials 41A25 Rate of convergence, degree of approximation 41A36 Approximation by positive operators 30E10 Approximation in the complex plane 60E05 Probability distributions: general theory Keywords:\(q\)-Berstein polynomials; limits \(q\)-Bernstein operator; Korovkin theorem PDFBibTeX XMLCite \textit{S. Ostrovska}, J. Math. Anal. Approx. Theory 2, No. 1, 35--51 (2007; Zbl 1159.41301)