Ostrovska, SofiyaTuran, MehmetMathematics2024-07-052024-07-05202101422-63831420-901210.1007/s00025-021-01391-92-s2.0-85104556893https://doi.org/10.1007/s00025-021-01391-9https://hdl.handle.net/20.500.14411/2107Ostrovska, Sofiya/0000-0003-1842-7953Since the classical moment problem is an important issue deeply connected to various mathematical disciplines, its q-analogue based on the notion of q-moments has emerged in the study of q-distributions. For a wide class of probability distributions, both of these problems can be considered. The aim of this work is to establish a connection between the two moment problems. In this paper, the class A of probability distributions possessing finite moments of all orders and support on (0, infinity) is examined. For each q is an element of(0,1), a distribution P is an element of A can be characterized with respect to moment-determinacy as well as q-moment determinacy. It is proved that the properties of P regarding these characterizations may differ, and that the q-moment determinacy of P may depend on the value of q.eninfo:eu-repo/semantics/closedAccessq-densityq-momentMoment problemCarleman's conditionq-moment (in)determinacyArticleQ1Q3762WOS:000641469100002