f-asymptotically lacunary ideal equivalence of double sequences

In this study, we present the notions of f -asymptotically I 2 -equivalence, strongly f -asymptotically I 2 -equivalence, f -asymptotically lacunary I 2 -equivalence, and strongly f -asymptotically lacunary I 2 -equivalence of double sequences and investigate some relationships between them. Also, w...

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Bibliographic Details
Published in:Journal of inequalities and applications 2019-08, Vol.2019 (1), p.1-11, Article 224
Main Author: Pancaroǧlu Akın, Nimet
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Asymptotic properties
Asymptotically equivalence
Double sequence
Equivalence
I 2 $\mathcal{I}_{2}$ -equivalence
Lacunary sequence
Mathematics
Mathematics and Statistics
Modulus function
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Summary:In this study, we present the notions of f -asymptotically I 2 -equivalence, strongly f -asymptotically I 2 -equivalence, f -asymptotically lacunary I 2 -equivalence, and strongly f -asymptotically lacunary I 2 -equivalence of double sequences and investigate some relationships between them. Also, we examine some relationships between strongly f -asymptotically I 2 -equivalence and asymptotically I 2 -statistical equivalence and between strongly f -asymptotically lacunary I 2 -equivalence and asymptotically lacunary I 2 -statistical equivalence of double sequences.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-019-2175-7