Yilmaz, Ovgu GurelOstrovska, SofiyaTuran, MehmetMathematics2024-07-052024-07-0520240126-67052180-420610.1007/s40840-023-01614-y2-s2.0-85178147710https://doi.org/10.1007/s40840-023-01614-yhttps://hdl.handle.net/20.500.14411/2303The Lupas q-analogue, R-n,R-q, is historically the first known q-version of the Bernstein operator. It has been studied extensively in different aspects by a number of authors during the last decades. In this work, the following issues related to the image of the Lupas q-analogue are discussed: A new explicit formula for the moments has been derived, independence of the image R-n,R-q from the parameter q has been examined, the diagonalizability of operator R-n,R-q has been proved, and the fact that R-n,R-q does not preserve modulus of continuity has been established.eninfo:eu-repo/semantics/closedAccessLupas q-transformMomentsEigenvaluesModulus of continuityArticleQ2471WOS:0011073129000020