A new Banach sequence space established by using Lucas sequences and nonzero real
numbers and is presented. At the same time, some inclusion relations are given and also …

The primary objective of this paper is to create a novel infinite Toeplitz matrix by leveraging
Tetranacci numbers. This matrix serves as the foundation for defining new sequence spaces …

In this study, the sequence sets ℓp (Gk, v, ̂E (r, s)) and ℓ∞(Gk, v, ̂E (r, s)) which are
depended on the Lucas band matrix and a sequence of modulus functions, are presented …

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 …

In this paper, by using well known Fibonacci numbers, so far not described in the literature a
new regular matrix F=(fnk) is defined and compared with well known matrix transformations …

The sequence spaces c_0(̂L),c(̂L),∞(̂L) and p(̂L) have been recently introduced and
studied by Karakaç and Karabudak. The aim of this paper is to extend the results of Karakaç …

Karakaş, Karabudak / Cumhuriyet Sci. J., Vol.38-3 (2017) 557-562 Page 1 Cumhuriyet Science
Journal CSJ e-ISSN: 2587-246X ISSN: 2587-2680 Cumhuriyet Sci. J., Vol.38-3 (2017) 557-562 …

Hazırlanan çalışmada, öncelikle Fibonacci ve Lucas sayıları kullanılarak iki yeni F ve E
regüler matrisleri tanımlandı. Daha sonra bu matrisler yardımıyla, sırasıyla X (F) Fibonacci ve …

On the Lucas Difference Sequence Spaces Defined by Modulus Function Page 1 Applications and
Applied Mathematics: An International Journal (AAM) Volume 14 Issue 1 Article 15 6-2019 On the …

Fibonacci and Lucas numbers have become a part of approximation of introducing a
sequence space by tha aid of matrix domain of an infinite matrix in the last decade. So, the …