Ostrovska, SofiyaTuran, MehmetMathematics02. School of Arts and Sciences01. Atılım University2024-10-062024-10-0620151584-28511843-4401https://hdl.handle.net/20.500.14411/9033Turan, Mehmet/0000-0002-1718-3902Despite 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.eninfo:eu-repo/semantics/closedAccessq-integersq-binomial coefficientsq-Bernstein polynomialslimit q-Bernstein operatoruniform convergenceArticle