An Application On The Lucas Numbers And Infinite Toeplitz Matrices

Yıl 2017, Cilt: 38 Sayı: 3, 557 - 562, 30.09.2017

Murat Karakaş Hasan Karabudak

https://doi.org/10.17776/csj.340510

Cited By: 2

Öz

In this paper, we firstly establish the regular matrix  by using Lucas numbers. Then, by
introducing the sequence space  with the help of the matrix , we show that this space is a BK-space and isomorphic to the space . Also, we give some inclusion relations by examining the relationship
between the space  and the spaces  ve  for .

Anahtar Kelimeler

Lucas numbers, Regular matrix, Fibonacci numbers, Sequence space

Lucas Sayıları ve Sonsuz Toeplitz Matrisleri Üzerine Bir Uygulama

Öz

Bu çalışmada öncelikle Lucas sayılarını kullanarak regüler  matrisi oluşturuldu. Daha sonra
bu matris yardımıyla  dizi uzayı tanımlanarak, bu
uzayın bir BK-uzayı olduğu ve  uzayı ile izomorf olduğu
gösterildi. Ayrıca,  dizi uzayının  şartı altında  ve  uzaylarıyla ilişkisi incelenerek
bazı kapsama bağıntıları verildi.

Anahtar Kelimeler

Lucas sayıları, Regüler matris, Fibonacci sayıları, Dizi uzayı

Kaynakça

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