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The first decade of the \(q\)-Bernstein polynomials: results and perspectives. (English) Zbl 1159.41301

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.

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
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