- Bitlis Eren University Journal of Science and Technology
- Vol: 11 Issue: 2
- Some inclusion results for the new Tribonacci-Lucas matrix
Some inclusion results for the new Tribonacci-Lucas matrix
Authors : Murat Karakaş
Pages : 76-81
Doi:10.17678/beuscitech.1013596
View : 11 | Download : 5
Publication Date : 2021-12-20
Article Type : Research
Abstract :The main purpose of this paper is first to establish a new regular matrix by using one of the important sequences of integer number called Tribonacci-Lucas. Also, we class this new Tribonacci-Lucas matrix with some well-known summability methods such as Riesz means, Nörlund means and Cesaro means. To do this, we show that the Tribonacci-Lucas matrix is a regular summability method and in addition to this, we give some inclusion results and finally prove that Cesaro matrix is stronger than the Tribonacci-Lucas matrix.Keywords : Tribonacci-Lucas numbers, Fibonacci numbers, Toeplitz matrix, Summability method