Lucas Tipi $alpha$. Dereceden İstatistiksel Yakınsaklık

Bu çalışmada, Lucas sayıları yardımıyla yeni bir regüler matris ve yeni bir dizi uzayı oluşturuyoruz. Ayrıca, Lucas matrisinin terimleriyle elde edilen Lucas dizisini kullanarak $alpha$. dereceden istatistiksel yakınsaklık kavramını inceliyoruz. Bununla birlikte, bu iki kavramla ilgili bazı topolojik özellikler ve kapsama bağıntıları veriyoruz.Anahtar kelimeler: Lucas dizisi, Lucas sayıları, İstatistiksel yakınsaklık, Dizi uzayı.

Lucas Type Statistical Convergence of Order $alpha$

The main goal of the article is to establish a new regular matrix and new sequence space with the help of Lucas numbers. Also, we examine statistical convergence of order $alpha$ and its some properties by using Lucas sequence which is obtained from the terms of Lucas matrix. Also, we give some topological properties and inclusion relations about these two concepts.Keywords: Lucas sequence, Lucas numbers, Statistical Convergence, Sequence space.

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