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Dergiler / 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
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Yayın Tarihi
2021-12-20
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

🎯
Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (15)

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  15. Karakaş, M., and Karakaş, A.M., 2018. A Study on Lucas Difference Sequence Spaces and, Maejo International Journal of Science and Technology, 12 (1), 70-78.