Ostrovska,S.Turan,M.Mathematics2024-10-062024-10-0620151584-28512-s2.0-84979057773https://hdl.handle.net/20.500.14411/9434Despite many common features, the convergence properties of the Bernstein and the q-Bernstein polynomials are not alike. What is more, the cases 0 < q < 1 and q > 1 are not similar to each other in terms of convergence. In this work, new results demonstrating the striking differences which may occur in those convergence properties are presented. © 2015, North University of Baia Mare. All rights reserved.eninfo:eu-repo/semantics/closedAccessLimit q-Bernstein operatorq-Bernstein polynomialsq-binomial coefficientsq-integersUniform convergenceArticleQ1Q13111051100