Korean Journal of Mathematics

  • 제28권2호
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  • Pages.205-221
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  • 2020
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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A NEW PARANORMED SERIES SPACE USING EULER TOTIENT MEANS AND SOME MATRIX TRANSFORMATIONS

  • Gulec, G. Canan Hazar (Department of Mathematics, Faculty of Science and Arts Pamukkale University) ;
  • Ilkhan, Merve (Department of Mathematics, Faculty of Science and Arts Duzce University)
  • 투고 : 2019.12.04
  • 심사 : 2020.03.26
  • 발행 : 2020.06.30
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초록

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 |𝜙z|(p) over the paranormed space ℓ(p) using Euler totient means, where p = (pk) is a bounded sequence of positive real numbers. Besides this, we investigate topological properties and compute the α-, β-, and γ duals of this paranormed space. Finally, we characterize the classes of infinite matrices (|𝜙z|(p), λ) and (λ, |𝜙z|(p)), where λ is any given sequence space.

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