Some inclusion results for the new Tribonacci-Lucas matrix

Year 2021, , 76 - 81, 20.12.2021

Murat Karakaş

https://doi.org/10.17678/beuscitech.1013596

Cited By: 2

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

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