Yilmaz, Ovgue GurelOstrovska, SofiyaTuran, MehmetMathematics2024-07-052024-07-0520241607-36061727-933X10.2989/16073606.2023.22295562-s2.0-85165129236https://doi.org/10.2989/16073606.2023.2229556https://hdl.handle.net/20.500.14411/2208Turan, Mehmet/0000-0002-1718-3902; Ostrovska, Sofiya/0000-0003-1842-7953The Lupas q-transform has first appeared in the study of the Lupas q-analogue of the Bernstein operator. Given 0 < q < 1 and f is an element of C[0, 1], the Lupas q-transform is defined by Lambda(q)(f; x) Pi(infinity)(k=0) 1/1 + q(k)x Sigma(k=0)f(1 - q(k))q(k(k-1)/2)x(k)/(1 - q)(1 - q(2)) center dot center dot center dot (1 - q(k)), x >= 0. During the last decades, this transform has been investigated from a variety of angles, including its analytical, geometric features, and properties of its block functions along with their sums. As opposed to the available studies dealing with a fixed value of q, the present work is focused on the injectivity of Lambda(q) with respect to parameter q. More precisely, the conditions on f such that equality Lambda(q)(f; x) = Lambda(r)(f; x); x >= 0 implies q = r have been established.eninfo:eu-repo/semantics/closedAccessLupas q-analogue of the Bernstein operatorsLupas q-transformanalytic functionq-periodicityArticleQ3Q2473477487WOS:0010297426000010