A Novel Study on q-Fibonacci Sequence Spaces and Their Geometric Properties

Yaying T., SAVAŞ E., Mursaleen M.

Iranian Journal of Science, vol.48, no.4, pp.939-951, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 4
  • Publication Date: 2024
  • Doi Number: 10.1007/s40995-024-01644-6
  • Journal Name: Iranian Journal of Science
  • Journal Indexes: Scopus
  • Page Numbers: pp.939-951
  • Keywords: 40C05, 46A45, 46B45, 47B37, Duals, Geometric properties, Matrix transformations, q-Fibonacci matrix, Sequence spaces
  • Uşak University Affiliated: Yes

Abstract

In this study we develop a q-Fibonacci matrix F(q)=(fnvq)n,v∈N0 given by (Formula presented.) where fv(q) represents a sequence of q-Fibonacci numbers. By utilizing the matrix F(q), we define matrix domains ℓp(F(q)):=(ℓp)F(q)(0