Gulec, G. Canan HazarIlkhan, Merve2021-12-012021-12-0120201976-86052288-1433https://doi.org/10.11568/kjm.2020.28.2.205https://hdl.handle.net/20.500.12684/10556Paranormed spaces are important as a generalization of the normed spaces in terms of having more general properties. The aim of this study is to introduce a new paranormed space vertical bar phi(z)vertical bar (p) over the paranormed space l(p) using Euler totient means, where p = (p(k)) is a bounded sequence of positive real numbers. Besides this, we investigate topological properties and compute the alpha-, beta-, and gamma duals of this paranormed space. Finally, we characterize the classes of infinite matrices (vertical bar phi(z)vertical bar (p) , lambda) and (lambda, vertical bar phi(z)vertical bar (p)), where lambda is any given sequence space.en10.11568/kjm.2020.28.2.205info:eu-repo/semantics/closedAccessParanormed sequence spacesAbsolute summabilityEuler totient meansMatrix transformationsSequence-SpacesIncludeL(P)Article282205221WOS:000546263500004N/A