Invariant and absolute invariant means of double sequences

DOI10.1155/2012/465364zbMath1260.40005OpenAlexW2014114841WikidataQ58908274 ScholiaQ58908274MaRDI QIDQ442598

J. Herrera, H. S. Yoon

Publication date: 3 August 2012

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/465364

zbMATH Keywords

invariant meanabsolute \(\sigma\)-convergencestrong \(\sigma\)-convergence

Mathematics Subject Classification ID

Multiple sequences and series (40B05) Absolute and strong summability (40F05)

Related Items

Some spaces of double sequences obtained through invariant mean and related concepts, Quasi Cauchy double sequences, Orlicz-Quasi-Cauchy double sequence spaces for RH-regular matrix

Cites Work

• On \(\mathcal A\)-invariant mean and \(\mathcal A\)-almost convergence
• Double \(\sigma\)-multiplicative matrices
• Invariant mean and some core theorems for double sequences
• On \(\sigma \)-conservative and boundedly \(\sigma \)-conservative four-dimensional matrices
• Regularly \(\sigma \)-conservative and \(\sigma \)-coercive four dimensional matrices
• Extensions of the spaces \(c\) and \(c_ 0\) from single to double sequences
• The \(\sigma\)-convergence and \(\sigma\)-core of double sequences
• Transformations of multiple sequences
• A contribution to the theory of divergent sequences
• ON SOME NEW INVARIANT MATRIX METHODS OF SUMMABILITY
• Some new double sequence spaces of invariant means
• Almost convergence of double sequences and strong regularity of summability matrices
• Some inequalities on sublinear functionals related to the invariant mean for double sequences
• Infinite Matrices and Invariant Means
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item