Ostrovska, SofiyaOstrovska, SofiyaWang, HepingMathematics2024-07-052024-07-05200910035-75961945-379510.1216/RMJ-2009-39-4-12792-s2.0-70349770801https://doi.org/10.1216/RMJ-2009-39-4-1279https://hdl.handle.net/20.500.14411/978Due to the fact that the convergence properties of q-Bernstein polynomials are not similar to those in the classical case q = 1, their study has become an area of intensive research with a wide scope of open problems and unexpected results. The present paper is focused on the convergence of q-Bernstein polynomials, 0 < q < 1, and related linear operators in complex domains. An analogue of the classical result on the simultaneous approximation is presented. The approximation of analytic functions With the help of the limit q-Bernstein operator is studied.eninfo:eu-repo/semantics/openAccessq-integersq-binomial coefficientsq-Bernstein polynomialsuniform convergenceArticleQ339412791291WOS:000269957500011