Some remarks on I -faster convergent infinite series

Ladislav Matejíčka

Mathematica Bohemica (2009)

  • Volume: 134, Issue: 3, page 275-284
  • ISSN: 0862-7959

Abstract

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A structure of terms of I -faster convergent series is studied in the paper. Necessary and sufficient conditions for the existence of I -faster convergent series with different types of their terms are proved. Some consequences are discussed.

How to cite

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Matejíčka, Ladislav. "Some remarks on $I$-faster convergent infinite series." Mathematica Bohemica 134.3 (2009): 275-284. <http://eudml.org/doc/38092>.

@article{Matejíčka2009,
abstract = {A structure of terms of $I$-faster convergent series is studied in the paper. Necessary and sufficient conditions for the existence of $I$-faster convergent series with different types of their terms are proved. Some consequences are discussed.},
author = {Matejíčka, Ladislav},
journal = {Mathematica Bohemica},
keywords = {$I$-convergence; $I$-faster convergent series; terms of $I$-convergent series; -convergence; -faster convergent series; terms of -convergent series},
language = {eng},
number = {3},
pages = {275-284},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some remarks on $I$-faster convergent infinite series},
url = {http://eudml.org/doc/38092},
volume = {134},
year = {2009},
}

TY - JOUR
AU - Matejíčka, Ladislav
TI - Some remarks on $I$-faster convergent infinite series
JO - Mathematica Bohemica
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 134
IS - 3
SP - 275
EP - 284
AB - A structure of terms of $I$-faster convergent series is studied in the paper. Necessary and sufficient conditions for the existence of $I$-faster convergent series with different types of their terms are proved. Some consequences are discussed.
LA - eng
KW - $I$-convergence; $I$-faster convergent series; terms of $I$-convergent series; -convergence; -faster convergent series; terms of -convergent series
UR - http://eudml.org/doc/38092
ER -

References

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  1. Činčura, J., Sleziak, M., Šalát, T., Toma, V., Sets of statistical cluster points and I -cluster points, Real Anal. Exchange 30 (2005), 565-580. (2005) MR2177419
  2. Dawson, D. F., 10.2140/pjm.1968.24.51, Pacific J. Math. 24 (1968), 51-56. (1968) Zbl0157.11202MR0222508DOI10.2140/pjm.1968.24.51
  3. Dindoš, M., Šalát, T., Toma, V., 10.1023/B:CMAJ.0000024535.89828.e8, Czech. Math. J. 53 (2003), 989-1000. (2003) Zbl1080.40500MR2018844DOI10.1023/B:CMAJ.0000024535.89828.e8
  4. Filipów, R., Reclaw, I., N. Mro' zek, Szuca, P., 10.2178/jsl/1185803621, J. Symbolic Logic 72 (2007), 501-512. (2007) MR2320288DOI10.2178/jsl/1185803621
  5. Holý, D., Matejíčka, L., Pinda, Ľ., 10.1155/2008/753632, International Journal of Mathematics and Mathematical Sciences, ISSN 0161-1712, Vol. 2008, Article ID 753632 (2008). (2008) Zbl1141.40001MR2407165DOI10.1155/2008/753632
  6. Holý, D., Matejíčka, L., Pinda, Ľ., Some remarks on faster convergent infinite series, Preprint. 
  7. Keagy, T. A., Ford, W. F., 10.2140/pjm.1988.132.357, Pacific J. Math. 132 (1988), 357-362. (1988) MR0934175DOI10.2140/pjm.1988.132.357
  8. Kostyrko, P., Šalát, T., Wilczyński, W., 𝕀 -Convergence, Real Anal. Exchange 26 (2000)/2001 669-686. MR1844385
  9. Kostyrko, P., Mačaj, M., Šalát, T., Sleziak, M., 𝕀 -Convergence and extremal 𝕀 -limit points, Math. Slovaca 55 (2005). (2005) MR2181783
  10. Salzer, H. E., 10.1002/sapm1954331356, J. Math. Physics 33 (1955), 356-359. (1955) Zbl0065.10801MR0068315DOI10.1002/sapm1954331356
  11. Smith, D. A., Ford, W. F., 10.1137/0716017, Siam J. Numer. Anal. 16 (1979), 223-240. (1979) Zbl0407.65002MR0526486DOI10.1137/0716017
  12. Šalát, T., Toma, V., 10.5802/ambp.179, Annales Mathématiques Blaise Pascal 10 (2003), 305-313. (2003) Zbl1061.40001MR2031274DOI10.5802/ambp.179
  13. Tripathy, B. C., On statistical convergence, Proc. Estonian Acad. Sci. Phys. Math. 47 (1998), 299-303. (1998) Zbl0961.40002MR1671445
  14. Wimp, J., 10.1090/S0025-5718-1972-0303674-X, Math. Comput. 26 (1972), 251-254. (1972) Zbl0257.40001MR0303674DOI10.1090/S0025-5718-1972-0303674-X

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