Fibonacci difference sequence spaces for modulus functions

Authors

  • Kuldip Raj SMVDU
  • Suruchi Pandoh
  • Seema Jamwal

Keywords:

Fibonacci numbers, modulus function, paranorm space, \alpha-, \beta-, \gamma-duals, matrix transformation

Abstract

In the present paper we introduce Fibonacci difference sequence spaces l(F, Ƒ, p, u) and  l_∞(F, Ƒ, p, u) by using a sequence of modulus functions and a new band matrix F. We also make an effort to study some inclusion relations, topological and geometric properties of these spaces. Furthermore, the alpha, beta, gamma duals and matrix transformation of the space l(F, Ƒ, p, u) are determined.

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Published

2015-05-04

Issue

Vol. 70 No. 1 (2015)

Section

Articoli

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