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    A NEW PARANORMED SERIES SPACE USING EULER TOTIENT MEANS AND SOME MATRIX TRANSFORMATIONS
    (Kangwon-Kyungki Mathematical Soc, 2020) Gulec, G. Canan Hazar; Ilkhan, Merve
    Paranormed 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.