Tribonacci-Lucas Sequence Spaces

Year 2023, , 548 - 562, 01.03.2023

Murat Karakaş , Uğurcan Şevik

https://doi.org/10.21597/jist.1154099

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.

Keywords

Tribonacci-Lucas numbers, Squence space, Schauder basis, Köthe-Toeplitz duals, Matrix transformation, Uniform convexity

Tribonacci-Lucas Dizi Uzayları

Abstract

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.

Keywords

Tribonacci-Lucas sayıları, Dizi uzayı, Schauder bazı, Köthe-Toeplitz dualleri, Matris dönüşümü, Düzgün konvekslik

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