`lambda` - STATISTICAL SUPREMUM - INFIMUM AND `lambda` - STATISTICAL CONVERGENCE

Authors : Maya ALTINOK, Umutcan KAYA, Mehmet KÜÇÜKASLAN

Pages : 34-41

Doi:10.33773/jum.823084

View : 13 | Download : 6

Publication Date : 2021-01-31

Article Type : Research Paper

Abstract :Convergence of real valued sequences especially statistical convergence is very popular subject in Mathematical Analysis. Also, it has got a lot of characterizations in literature. In this paper, we are going to define $\lambda$-statistical supremum and $\lambda$-statistical infimum for real valued sequence $x=insert ignore into journalissuearticles values(x_n);$. After giving some basic properties of these new notations, then we are going to find a necessary and sufficient condition for to existence of λ-statistical convergence of the sequence $x=insert ignore into journalissuearticles values(x_n);$.
Keywords : Statistical supremum infimum, Statistical convergence, Natural density