Sezgisel Fuzzy Normlu Uzaylarda I-Lacunary İstatiksel Yakınsaklık

Year 2020, Volume: 20 Issue: 2, 207 - 212, 20.05.2020

Ömer Kişi

https://doi.org/10.35414/akufemubid.675886

Cited By: 1

Abstract

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

I-Lacunary Statistical Convergence in Intuitionistic Fuzzy Normed Spaces

Abstract

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.

Keywords

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

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