Multidimensional Matrix Characterization of Asymptotic I2−Equivalent and Ideal for Double Sequences

DOI10.1080/01630563.2018.1557204zbMath1428.40003OpenAlexW2913989183MaRDI QIDQ4634179

Richard F. Patterson, Rabia Savas

Publication date: 7 May 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2018.1557204

zbMATH Keywords

rates of convergencePringsheim limit pointstatistical limitasymptotically equivalent double sequencesdouble ideal convergence

Mathematics Subject Classification ID

Multiple sequences and series (40B05) Ideal and statistical convergence (40A35)

Cites Work

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• Ideal convergence of double sequences in random 2-normed spaces
• Asymptotic \(I\)-equivalence of two number sequences and asymptotic \(I\)-regular matrices
• Asymptotic equivalence and summability
• Rates of convergence for double sequences
• Double sequence core theorems
• A generalized statistical convergence via ideals
• Transformations of multiple sequences
• On ideal convergence in probabilistic normed spaces
• I and I*-convergence of double sequences
• ON STATISTICAL CONVERGENCE
• Minimal Rates of Summability
• ON ASYMPTOTICALLY STATISTICAL EQUIVALENT SEQUENCES

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