Lucas Type Statistical Convergence of Order α

Fibonacci and Lucas numbers have become a part of approximation of introducing a sequence space by tha aid of matrix domain of an infinite matrix in the last decade. So, 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 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.