Some Characteristics of Matrix Operators on Generalized Fibonacci Weighted Difference Sequence Space

CANDAN M.

SYMMETRY-BASEL, cilt.14, sa.7, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 7
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3390/sym14071283
  • Dergi Adı: SYMMETRY-BASEL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: Fibonacci numbers, sequence spaces, matrix operators, quasi-summable matrices, LOWER BOUNDS, NORMS
  • İnönü Üniversitesi Adresli: Evet

Özet

The forthcoming property of this manuscript is its calculating of the goal of norms and lower bounds of matrix operators taken from the weighted sequence space l(p)(w) onto a novel one defined in the present article as the generalized Fibonacci weighted difference sequence space. In this process, first of all the Fibonacci difference matrix (F) over tilde (r,s) and the space composed of sequences of which (F) over tilde (r,s)-transforms lie in l(p)((w) over tilde), where r,s is an element of R are defined. Additionaly, since the seminormed space l(p)((w) over tilde,(F) over tilde (r,s)) has the absolute homogeneous property, the topological characteristics on it are distributed symmetrically everywhere in the space.