NECESSARY AND SUFFICIENT CONDITIONS FOR FREQUENT CAUCHY SEQUENCES

DOI10.1142/S1793557109000248zbMath1179.26003OpenAlexW2054723441MaRDI QIDQ5320813

Mehmet Gürdal, Sui-Sun Cheng, Chuan Jun Tian

Publication date: 22 July 2009

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557109000248

zbMATH Keywords

statistical Cauchy sequencesfrequently convergent sequencespre-Cauchy sequences

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Convergence and divergence of series and sequences (40A05) Inclusion and equivalence theorems in summability theory (40D25) Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) (46A70) Foundations: limits and generalizations, elementary topology of the line (26A03)

Cites Work

• Unsaturated solutions for partial difference equations with forcing terms
• On the density of certain sequences of integers
• Measures for oscillatory sequences
• Frequent oscillation in a nonlinear partial difference equation
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