A new regular infinite matrix defined by Jordan totient function and its matrix domain in ℓp

İlkhan M., ŞİMŞEK N., Kara E. E.

Mathematical Methods in the Applied Sciences, cilt.44, sa.9, ss.7622-7633, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Özet
  • Cilt numarası: 44 Sayı: 9
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/mma.6501
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.7622-7633
  • Anahtar Kelimeler: Banach sequence space, Jordan totient function, matrix transformation, regular matrix
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper, we first define a new regular matrix by using the arithmetic function called Jordan totient function and study the matrix domain of this newly introduced matrix in the Banach space ℓp. After computing the dual spaces of this new space, we characterize certain matrix mappings related to this space.