On Asymptotically I-lacunary Statistical Equivalent Functions of Order $\alpha$

Authors : Rahmet SAVAŞ, Sefa Anıl SEZER

Pages : 470-474

View : 27 | Download : 11

Publication Date : 2019-10-15

Article Type : Research Paper

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 $xinsert ignore into journalissuearticles values(t);$ and $yinsert ignore into journalissuearticles values(t);$ in the interval $insert ignore into journalissuearticles values(1,\infty);$ 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