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A New Regular Matrix Defined By Fibonacci Numbers And Its Applications

Year 2015, Volume: 4 Issue: 2, 0 - 0, 22.12.2015
https://doi.org/10.17798/beufen.78452

Abstract

The main goal of this paper is to define a new infinite Toeplitz matrix and to examine some algebraic and topological properties of the sequence spaces and where by means of this matrix.en

References

  • Başar F., 2011. Summability Theory and Its Applications, Bentham e-Books, 410s. İstanbul.
  • Choudary B., Nanda S., 1989. Functional Analysis with Applications, John Wiley & Sons Inc, New Delhi, India, 272-273.
  • Kalman D., Mena R., 2003. The Fibonacci Numbers: Exposed, Mathematics Magazine, 76 (3): 167-181.
  • Vajda S., 1989. Fibonacci and Lucas Numbers, and the Golden Section: Theory and Applications, Dover Publications Inc., 190 s. New York.
  • Kara E.E., Basarir M., 2012. An Application of Fibonacci Numbers into Infinite Toeplitz Matrices, Caspian Journal of Mathematics Sciences, 1 (1): 1-6.
  • Wilansky A., 1984. Summablity Through Functional Analysis, Elsevier Science Publishers B.V., 309 s. Amsterdam.
  • Mursaleen M., Noman A.K., 2011. On Some New Sequence Spaces of Non-absolute Type Related to The Spaces and I, Filomat, 25 (2): 33-51.
  • Mursaleen M., Noman A.K., 2010. On the Space of -Convergent and Bounded Sequences, Thai Journal of Mathematics, 8 (2): 311-329.
Year 2015, Volume: 4 Issue: 2, 0 - 0, 22.12.2015
https://doi.org/10.17798/beufen.78452

Abstract

References

  • Başar F., 2011. Summability Theory and Its Applications, Bentham e-Books, 410s. İstanbul.
  • Choudary B., Nanda S., 1989. Functional Analysis with Applications, John Wiley & Sons Inc, New Delhi, India, 272-273.
  • Kalman D., Mena R., 2003. The Fibonacci Numbers: Exposed, Mathematics Magazine, 76 (3): 167-181.
  • Vajda S., 1989. Fibonacci and Lucas Numbers, and the Golden Section: Theory and Applications, Dover Publications Inc., 190 s. New York.
  • Kara E.E., Basarir M., 2012. An Application of Fibonacci Numbers into Infinite Toeplitz Matrices, Caspian Journal of Mathematics Sciences, 1 (1): 1-6.
  • Wilansky A., 1984. Summablity Through Functional Analysis, Elsevier Science Publishers B.V., 309 s. Amsterdam.
  • Mursaleen M., Noman A.K., 2011. On Some New Sequence Spaces of Non-absolute Type Related to The Spaces and I, Filomat, 25 (2): 33-51.
  • Mursaleen M., Noman A.K., 2010. On the Space of -Convergent and Bounded Sequences, Thai Journal of Mathematics, 8 (2): 311-329.
There are 8 citations in total.

Details

Journal Section Articles
Authors

MURAT Karakaş

Publication Date December 22, 2015
Submission Date October 21, 2015
Published in Issue Year 2015 Volume: 4 Issue: 2

Cite

IEEE M. Karakaş, “A New Regular Matrix Defined By Fibonacci Numbers And Its Applications”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 4, no. 2, 2015, doi: 10.17798/beufen.78452.

Bitlis Eren University
Journal of Science Editor
Bitlis Eren University Graduate Institute
Bes Minare Mah. Ahmet Eren Bulvari, Merkez Kampus, 13000 BITLIS