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Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 13 Sayı: 1

Tribonacci-Lucas Sequence Spaces

Tribonacci-Lucas Dizi Uzayları

Murat Karakaş(Bitlis Eren Üniversitesi)0000-0002-5174-0282
Uğurcan Şevik(BİTLİS EREN ÜNİVERSİTESİ)0000-0003-1467-3188
Pages
548–562
Publication Date
2023-03-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we examine whether our space has geometric properties such as uniform convexity, strict convexity, and superreflexivity.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we basically define new sequence spaces using Tribonacci-Lucas numbers.
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Key Findings & Data:Then, we give some inclusion relations by examining some topological properties of these spaces.
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Conclusion & Impact:Finally, we examine whether our space has geometric properties such as uniform convexity, strict convexity, and superreflexivity.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Tribonacci-Lucas sayıları · Dizi uzayı · Schauder bazı

Abstract

In this work, we basically define new sequence spaces using Tribonacci-Lucas numbers. Then, we give some inclusion relations by examining some topological properties of these spaces. We also characterize some matrix classes by calculating the Köthe-Toeplitz duals of our space. Finally, we examine whether our space has geometric properties such as uniform convexity, strict convexity, and superreflexivity.

Özet

Bu araştırmada, temel olarak Tribonacci-Lucas sayılarını kullanarak yeni dizi uzayları tanımlıyoruz. Daha sonra bu uzayın bazı topolojik özelliklerini inceleyerek, bazı kapsama bağıntıları veriyoruz. Ayrıca uzayımızın Köthe-Toeplitz duallerini hesaplayarak, bazı matris sınıflarını karakterize ediyoruz. Son olarak, uzayımızın düzgün konvekslik, kesin konvekslik, süper yansımalılık gibi geometrik özelliklere sahip olup olmadığını inceliyoruz.

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Cite This Article

Karakaş, M., Şevik, U. (2023). Tribonacci-Lucas Sequence Spaces. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 13 Sayı: 1, 548–562. https://doi.org/10.21597/jist.1154099

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