Title of article :
Weighted Lacunary Statistical Convergence in Intuitionistic Fuzzy Normed Linear Spaces
Author/Authors :
altundag, selma sakarya university - faculty of science - department of mathematics, turkey , kamber, esra sakarya university - faculty of science - department of mathematics, Turkey
Abstract :
In this paper, we define new summability method which is called as (N,pr, Ө) summability derived by weighted mean and lacunary sequence in intuitionistic fuzzy normed linear spaces. We use (N,pr ,Ө) - summability to define new statistical convergence type which is named as weighted lacunary statistical convergence derived by weighted mean and lacunary sequence in intuitionistic fuzzy normed linear spaces, respectively. Moreover, we study the relation between weighted lacunary statistical convergence and lacunary statistical convergence, where the base space is IFNLS.
Keywords :
Weighted mean , Statistical convergence , Lacunary sequence , Weighted lacunary statistical convergence , Weighted lacunary density , Intuitionistic fuzzy normed linear space
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes