Turan, MehmetYilmaz, Ovgue GurelOstrovska, SofiyaOstrovska, SofiyaTuran, MehmetMathematics2024-07-052024-07-05202400022-247X1096-081310.1016/j.jmaa.2022.1268422-s2.0-85142857304https://doi.org/10.1016/j.jmaa.2022.126842https://hdl.handle.net/20.500.14411/2163The Lupas q-analogue Rn,q of the Bernstein operator is the first known q-version of the Bernstein polynomials. It had been proposed by A. Lupas in 1987, but gained the popularity only 20 years later, when q-analogues of classical operators pertinent to the approximation theory became an area of intensive research. In this work, the continuity of operators Rn,q with respect to parameter q in the strong operator topology and in the uniform operator topology has been investigated. The cases when n is fixed and n -> infinity have been considered. (c) 2022 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessq-integersLupas q-analogueOperator normStrong operator topologyUniform operator topologyArticleQ2Q25292WOS:001119384900001