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Investigation of p-Summable Fibonacci-Type Difference Sequence Spaces and Their Duals via Modulus Functions

Author

Listed:
  • Sunil K. Sharma
  • Ravi Kumar
  • Faruk Özger
  • Merve Ersoy

Abstract

In this paper, we introduce new Fibonacci-type difference sequence spaces defined by a modulus function f, specifically focusing on the sequence space lGu,v,f,p, where p=pk is an arbitrary bounded sequence of positive real numbers. These spaces consist of all sequences whose transforms under the generalized Fibonacci band matrix Gu,v belong to the classical sequence spaces lp and lp. We investigate various algebraic and topological properties of the newly constructed spaces, including their completeness and convergence. Furthermore, the α−, β−, and γ− duals of the space are established.

Suggested Citation

  • Sunil K. Sharma & Ravi Kumar & Faruk Özger & Merve Ersoy, 2026. "Investigation of p-Summable Fibonacci-Type Difference Sequence Spaces and Their Duals via Modulus Functions," Journal of Mathematics, Hindawi, vol. 2026, pages 1-10, July.
    • Handle: RePEc:hin:jjmath:7491120
    DOI: 10.1155/jom/7491120
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