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Journals / Bitlis Eren University Journal of Science and Technology / 2021 / Volume: 11 Issue: 2

Some inclusion results for the new Tribonacci-Lucas matrix

Murat Karakaş(Bitlis Eren Üniversitesi)0000-0002-5174-0282
Pages
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Publication Date
2021-12-20
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data:Also, we class this new Tribonacci-Lucas matrix with some well-known summability methods such as Riesz means, Nörlund means and Cesaro means.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Tribonacci-Lucas numbers · Fibonacci numbers · Toeplitz matrix

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.

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Cite This Article

Karakaş, M. (2021). Some inclusion results for the new Tribonacci-Lucas matrix. Bitlis Eren University Journal of Science and Technology, Volume: 11 Issue: 2. https://doi.org/10.17678/beuscitech.1013596

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