\(\mu\)-lacunary \(\chi_{A_{uv}}^2\)-convergence of order \(\alpha\) with \(p\)-metric defined by \(mn\) sequence of moduli Musielak

DOI10.1016/j.joems.2015.02.001zbMath1344.40001OpenAlexW1978104728MaRDI QIDQ900518

N. Saivaraju, M. R. Bivin, Nagarajan Subramanian

Publication date: 22 December 2015

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2015.02.001

zbMATH Keywords

\(p\)-metric spaceanalytic sequenceMusielak modulus functiondifference sequence space\(\chi^2\) space\(mn\)-sequences

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Matrix methods for summability (40C05) General theorems on summability (40D05) Ideal and statistical convergence (40A35)

Cites Work

• Statistically convergent difference double sequence spaces
• Extensions of the spaces \(c\) and \(c_ 0\) from single to double sequences
• Statistical convergence of double sequences
• Double sequence space \(\ell_{2}^{\infty}(p)\)
• The double sequences spaces \(c_{2}^{P}(p)\) and \(c_{2}^{PB}(p)\)
• On Orlicz sequence spaces
• Some new spaces of double sequences
• A generalization of multiple sequence transformations
• Preservation of partial limits in multiple sequence transformations
• On Strong Matrix Summability with Respect to a Modulus and Statistical Convergence
• Sequence spaces defined by a modulus
• Almost convergence of double sequences and strong regularity of summability matrices
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