Ostrovska, SofiyaMathematics2024-07-052024-07-0520141735-878710.15352/bjma/13966400592-s2.0-84898724607https://doi.org/10.15352/bjma/1396640059https://hdl.handle.net/20.500.14411/122The Lupas q-transform emerges in the study of the limit q-Lupas operator. This transform is closely connected to the theory of positive linear operators of approximation theory, the q-boson operator calculus, the methods of summation of divergent series, and other areas. Given q is an element of (0, 1), f is an element of C[0, 1], the Lupas q-transform of f is defined by: [GRAPHICS] where [GRAPHICS] The analytical and approximation properties of A(q) have already been examined. In this paper, some properties of the Lupas q-transform related to continuous linear operators in normed linear spaces are investigated.eninfo:eu-repo/semantics/openAccessLupas q-transformBernstein operatorcontinuous linear operatorisomorphic embeddingArticle82139145WOS:0003362243000131