@article{article_613976, title={On Asymptotically I-lacunary Statistical Equivalent Functions of Order $\alpha$}, journal={Konuralp Journal of Mathematics}, volume={7}, pages={470–474}, year={2019}, author={Savaş, Rahmet and Sezer, Sefa Anıl}, keywords={Lacunary statistical convergence,I-lacunary statistical equivalence of order α,asymptotically equivalent functions,ideal,filter}, abstract={<font face="Times New Roman, Times, serif" style="font-size:medium;"> </font> <p style="text-align:justify;"> <span style="font-size:14px;">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. </span> <br /> </p>}, number={2}, publisher={Mehmet Zeki SARIKAYA}