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Article Citation - WoS: 1Citation - Scopus: 1The Convergence of q-bernstein Polynomials (0 < q < 1) and Limit q-bernstein Operators in Complex Domains(Rocky Mt Math Consortium, 2009) Ostrovska, Sofiya; Wang, HepingDue 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.
