TY  - JOUR
T1  - On Asymptotically I-lacunary Statistical Equivalent Functions of Order $\alpha$
AU  - Savaş, Rahmet
AU  - Sezer, Sefa Anıl
PY  - 2019
DA  - October
Y2  - 2019
JF  - Konuralp Journal of Mathematics
JO  - Konuralp J. Math.
PB  - Mehmet Zeki SARIKAYA
WT  - DergiPark
SN  - 2147-625X
SP  - 470
EP  - 474
VL  - 7
IS  - 2
LA  - en
AB  - 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.
KW  - Lacunary statistical convergence
KW  - I-lacunary statistical equivalence of order α
KW  - asymptotically equivalent functions
KW  - ideal
KW  - filter
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UR  - https://dergipark.org.tr/en/pub/konuralpjournalmath/issue//613976
L1  - https://dergipark.org.tr/en/download/article-file/844649
ER  -