- Konuralp Journal of Mathematics
- Vol: 7 Issue: 2
- On Asymptotically I-lacunary Statistical Equivalent Functions of Order $\alpha$
On Asymptotically I-lacunary Statistical Equivalent Functions of Order $\alpha$
Authors : Rahmet Savaş, Sefa Anıl Sezer
Pages : 470-474
View : 8 | Download : 4
Publication Date : 2019-10-15
Article Type : Research
Abstract :The aim of this paper is to provide a new approach to some well known summability methods. We first define asymptotically ${\rm I}$-statistical equivalent functions of order $\alpha $, asymptotically ${\rm I} _{\theta} $-statistical equivalent functions of order $\alpha$ and strongly ${\rm I}$-lacunary equivalent functions of order $\alpha$ by taking two nonnegative real-valued Lebesgue measurable functions $x(t)$ and $y(t)$ in the interval $(1,\infty)$ instead of sequences and later we investigate their relationship.Keywords : Lacunary statistical convergence, I-lacunary statistical equivalence of order α, asymptotically equivalent functions, ideal, filter