Ostrovska, SofiyaMathematics2024-07-052024-07-0520181661-82541661-826210.1007/s11785-017-0681-52-s2.0-85019032466https://doi.org/10.1007/s11785-017-0681-5https://hdl.handle.net/20.500.14411/2646The limit q-Bernstein operator B-q appears as a limit for a sequence of the q-Bernstein or for a sequence of the q-Meyer-Konig and Zeller operators in the case 0 < q < 1. Lately, various features of this operator have been investigated from several angles. It has been proved that the smoothness of f is an element of C[0, 1] affects the possibility for an analytic continuation of its image B-q f. This work aims to investigate the reciprocal: to what extent the smoothness of f can be retrieved from the analytical properties of B-q f.eninfo:eu-repo/semantics/closedAccessLimit q-Bernstein operatorAnalytic functionDivided differenceArticleQ3Q412818351844WOS:0004473755000040