On statistical limit points and the consistency of statistical convergence

Journal of Mathematical Analysis and Applications

Volumn 197, Issue 2, 1996, Pages 392-399

  Connor, Jeff ^a   Kline, Jeannette ^b  

^a OHIO UNIVERSITY   (United States)

^b Ohio University Chillicothe   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0029689350     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0027     Document Type: Article

References (17)

1. 1. R. Atalla, On the multiplicative behavior of regular matrices, Proc. Amer. Math. Soc. 26, No. 3 (1970), 437-446.
2. 2. J. Connor, Two-valued measures and summability, Analysis 10 (1990), 373-385.
3. 3. J. Connor, R-Type summability methods, Cauchy criteria, P-sets and statistical convergence, Proc. Amer. Math. Soc. 115, No. 2 (1992), 319-327.
4. 4. J. Connor and M. A. Swardson, Strong integral summability and the Stone-Čech compactification of the half-line, Pacific J. Math. (2) 157 (1993), 201-224.
5. 5. J. Connor and M. A. Swardson, Measures and ideals of C*(X), in "Papers on General Topology and Its Applications," Annals of the New York Academy of Science, Vol. 104, New York Academy of Science, New York, 1994.
6. 6. R. Engelking, "General Topology," University Series in Higher Math., Polish Scientific Publishers, Warsaw, 1977.
7. 7. P. Erdös and G. Tenenbaum, Sur les densities de certaines suites d'entiers, Proc. London Math. Soc. (3) 59 (1989), 417-438.
8. 8. J. Fridy, Statistical limit points, Proc. Amer. Math. Soc. 118, No. 4 (1993), 1187-1192.
9. 9. J. Fridy and C. Orhan, Lacunary statistical convergence, Pacific J. Math. 160 (1993), 43-51.
10. 10. J. Fridy and C. Orhan, Lacunary statistical summability, J. Math. Anal. Appl. 173 (1993), 497-504.
11. 11. L. Gillman and M. Jerison, "Rings of Continuous Functions," Graduate Texts in Mathematics, Springer-Verlag, New York, 1976.
12. 12. M. Henriksen, Multiplicative summability methods and the Stone-Čech compactification Math. Z 71 (1959), 427-435.
13. 13. I. J. Maddox, Statistical convergence in locally convex spaces, Math. Proc. Cambridge Philos. Soc. 104 (1988), 141-145.
14. 14. R. E. Powell and S. M. Shah, "Summability Theory and Applications," Van Nostrand, New York/London, 1972.
15. 15. J. Rainwater, Regular matrices with nowhere dense support, Proc. Amer. Math. Soc. 29 (1971), 361.
16. 16. W. Rudin, Homogeneity problems in the theory of Čech compactifications, Duke Math J. 23 (1956), 409-420.
17. 17. A. Zygmund, "Trigonometric Series," 2nd ed., Cambridge Univ. Press, Cambridge, 1979.