A Matrix Characterization of Statistical Convergence of Double Sequences

Authors

  • Harry I. Miller Department of Mathematics, University of Sarajevo, Faculty of Natural Sciences, Sarajevo, Bosnia and Herzegovina
  • Leila Miller-Van Wieren Department of Mathematics, Sarajevo School of Science and Technology, Sarajevo, Bosnia and Herzegovina

DOI:

https://doi.org/10.5644/SJM.04.1.08

Abstract

Fridy and Miller have given a characterization of statistical convergence for bounded single sequences using a family of matrix summability methods. In this paper we prove the analogous result for double sequences.

 

2000 Mathematics Subject Classification. 40D25, 40G99, 28A12

 

Statistics

Abstract: 35  /   PDF: 11

 

References

J. Connor, The statistical and strong p-Cesaro convergence of sequences, Analysis, 8 (1988), 47–63.

J. Connor, On strong matrix summability with respect to a modulus and statistical convergence, Math.Bull., 32 (1989), 194–198.

H. Fast, Sur la convergence statistique, Colloq. Math., 2 (1951), 241–244.

J. A. Fridy, On statistical convergence, Analysis, 5 (1985), 301–313.

J. A. Friday and H. I. Miller, A matrix characterization of statistical convergence, Analysis, 11 (1991), 59–66.

H. I. Miller and R. F. Patterson, Core theorems for double sequences and rearrangements, Acta Math. Hungar., (2007) – online.

I. J. Schoenberg, The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66 (1959), 361–375.

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Published

11.06.2024

How to Cite

Miller, H. I., & Miller-Van Wieren, L. (2024). A Matrix Characterization of Statistical Convergence of Double Sequences. Sarajevo Journal of Mathematics, 4(1), 91–95. https://doi.org/10.5644/SJM.04.1.08

Issue

Vol. 4 No. 1 (2008)

Section

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