TY  - JOUR
T1  - $f$-Asymptotically $\mathcal{I}_{\sigma\theta}$-Equivalence of Real Sequences
AU  - Dundar, Erdinç
AU  - Akın, Nimet
PY  - 2020
DA  - April
Y2  - 2020
DO  - 10.33187/jmsm.710084
JF  - Journal of Mathematical Sciences and Modelling
PB  - Mahmut AKYİĞİT
WT  - DergiPark
SN  - 2636-8692
SP  - 32
EP  - 37
VL  - 3
IS  - 1
LA  - en
AB  - In this manuscript, we present the ideas of asymptotically  $[{\mathcal{I}_{\sigma\theta}}]$-equivalence, asymptotically ${\mathcal{I}_{\sigma\theta}}(f)$-equivalence, asymptotically $[{\mathcal{I}_{\sigma\theta}}(f)]$-equivalence and asymptotically ${\mathcal{I}(S_{\sigma\theta})}$-equivalence for real sequences. In addition to, investigate some connections among these new ideas and we give some inclusion theorems about them.
KW  - Asymptotically equivalence
KW  - Lacunary invariant equivalence
KW  - $\mathcal{I}$-equivalence
KW  - Modulus function
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UR  - https://doi.org/10.33187/jmsm.710084
L1  - https://dergipark.org.tr/en/download/article-file/1069241
ER  -