Some New Paranormed Difference Sequence Spaces Derived by Fibonacci Numbers

E. E. Kara; S. Demiriz

Some New Paranormed Difference Sequence Spaces Derived by Fibonacci Numbers

Functional Analysis 2013-09-03 v1

Authors: E. E. Kara , S. Demiriz

Abstract

In this study, we define new paranormed sequence spaces by the sequences of Fibonacci numbers. Furthermore, we compute the $\alpha-,\beta-$ and $\gamma-$ duals and obtain bases for these sequence spaces. Besides this, we characterize the matrix transformations from the new paranormed sequence spaces to the Maddox's spaces $c_{0}(q),c(q),\ell(q)$ and $\ell_{\infty}(q)$ .

Keywords

fibonacci numbers integer sequences and recurrences

Cite

@article{arxiv.1309.0154,
  title  = {Some New Paranormed Difference Sequence Spaces Derived by Fibonacci Numbers},
  author = {E. E. Kara and S. Demiriz},
  journal= {arXiv preprint arXiv:1309.0154},
  year   = {2013}
}

Comments

arXiv admin note: text overlap with arXiv:1105.3747 by other authors

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