I-Lacunary Statistical Convergence in Intuitionistic Fuzzy Normed Spaces

In this study, first, we investigate the notions of I-lacunary statistical convergence and strongly I-lacunary 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.

Anahtar Kelimeler:

Ideal convergence, -lacunary statistical convergence, intuitionistic fuzzy normed space, Banach space, Cauchy sequence

Sezgisel Fuzzy Normlu Uzaylarda I-Lacunary İstatiksel Yakınsaklık

Bu çalışmada, ilk olarak (μ,ν) sezgisel normuna göre I-lacunary istatistiksel yakınsaklık ve kuvvetli I-lacunary 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.

Keywords:

İdeal yakınsaklık, I-lacunary istatistiksel yakınsaklık, Sezgisel fuzzy normlu uzay, Banach uzayı, Cauchy dizisi,

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