Some new lacunary ff-statistical AA-convergent sequence spaces of order α\alpha

We study the concept of density for sets of natural numbers in some lacunary $A$-convergent sequence spaces. Also we are trying to investigate some relation between the ordinary convergence and module statistical convergence for evey unbounded modulus function. Morever we also study some results on the newly defined lacunary $f$-statistically $A$-convergent sequence spaces with respect to some Musielak-Orlicz function.Comment: Conference paper. arXiv admin note: text overlap with arXiv:1506.0545

ON GENERALIZED STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES VIA IDEALS IN INTUITIONISTIC FUZZY NORMED SPACES

In this paper, we introduce the concept of I₂-lacunary statistical convergence and strongly I₂-lacunary convergence with respect to the intuitionistic fuzzy norm (μ,v), investigate their relationship, and make some observations about these classes. We mainly examine the relation between these two new methods and the relation between I₂-statistical convergence in the corresponding intuitionistic fuzzy normed space

Sezgisel fuzzy normlu uzaylarda ℐ-lacunary istatiksel yakınsaklık

In this study, first, we investigate the notions of ℐ-lacunary statistical convergence and strongly ℐlacunary convergence with regards to the intuitionistic fuzzy norm (IFN for short) (μ,ν). Then, we investigate relationships among this new concepts and make important observations about them. Futhermore, we examine the relations among ℐ-lacunary statistical convergence and ℐ-statistical convergence in terms of IFN (μ,ν) in the corresponding intuitionistic fuzzy normed space.Bu çalışmada, ilk olarak (μ,ν) sezgisel normuna göre ℐ-lacunary istatistiksel yakınsaklık ve kuvvetli ℐlacunary yakınsaklık kavramları tanımlandı. Daha sonra bu kavramlar arasındaki ilişkiler incelendi ve bu kavramlar üzerine önemli gözlemler yapıldı. Bununla birlikte, ilgili sezgisel fuzzy normlu uzayda (μ,ν) sezgisel normuna göre ℐ-lacunary istatistiksel yakınsaklık ile ℐ-istatistiksel yakınsaklık arasındaki ilişkiler incelendi