Ostrovska, SofiaOzban, Ahmet YasarMathematics2024-07-052024-07-0520160978331931281197833193127981931-68281931-683610.1007/978-3-319-31281-1_222-s2.0-85007164258https://doi.org/10.1007/978-3-319-31281-1_22https://hdl.handle.net/20.500.14411/563This chapter presents an overview of the results related to the q-Bernstein polynomials with q > 1 attached to discontinuous functions on [0, 1]. It is emphasized that the singularities of such functions located on the set Jq : = {0} boolean OR {q-l}(l=0, infinity), q > 1 are definitive for the investigation of the convergence properties of their q-Bernstein polynomials.eninfo:eu-repo/semantics/closedAccessq-Bernstein polynomialDiscontinuous functionTime scaleConvergenceBook PartQ4111501515WOS:000387582900023