- Journal of Universal Mathematics
- Vol: 4 Issue: 1
- "lambda" - STATISTICAL SUPREMUM - INFIMUM AND "lambda" - STATISTICAL CONVERGENCE
"lambda" - STATISTICAL SUPREMUM - INFIMUM AND "lambda" - STATISTICAL CONVERGENCE
Authors : Maya Altinok, Umutcan Kaya, Mehmet Küçükaslan
Pages : 34-41
Doi:10.33773/jum.823084
View : 16 | Download : 4
Publication Date : 2021-01-31
Article Type : Research
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 $x=(x_n)$. 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 $x=(x_n)$.Keywords : Statistical supremum-infimum, Statistical convergence, Natural density