Skip to main content
Have a personal or library account? Click to login
Inferior Limit, Superior Limit and Convergence of Sequences of Extended Real Numbers Cover

Inferior Limit, Superior Limit and Convergence of Sequences of Extended Real Numbers

Formalized Mathematics
Volume 15 (2007): Issue 4 (December 2007)
By: ,  ,   and    
Open Access
|Jun 2008
References

References

  1. [4] Józef Białas. The σ-additive measure theory., 2(2):263-270, 1991.
    Search in Google Scholar
  2. [5] Czesław Byliński. Functions and their basic properties., 1(1):55-65, 1990.
    Search in Google Scholar
  3. [6] Czesław Byliński. Functions from a set to a set., 1(1):153-164, 1990.
    Search in Google Scholar
  4. [7] Czesław Byliński. Partial functions., 1(2):357-367, 1990.
    Search in Google Scholar
  5. [8] Czesław Byliński and Piotr Rudnicki. Bounding boxes for compact sets in ε., 6(3):427-440, 1997.
    Search in Google Scholar
  6. [9] Noboru Endou and Yasunari Shidama. Integral of measurable function., 14(2):53-70, 2006.
    Open DOISearch in Google Scholar
  7. [10] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definitions and basic properties of measurable functions., 9(3):495-500, 2001.
    Search in Google Scholar
  8. [11] Adam Grabowski. On the Kuratowski limit operators., 11(4):399-409, 2003.
    Search in Google Scholar
  9. [12] Jarosław Kotowicz. Convergent real sequences. Upper and lower bound of sets of real numbers., 1(3):477-481, 1990.
    Search in Google Scholar
  10. [13] Jarosław Kotowicz. Convergent sequences and the limit of sequences., 1(2):273-275, 1990.
    Search in Google Scholar
  11. [14] Jarosław Kotowicz. Monotone real sequences. Subsequences., 1(3):471-475, 1990.
    Search in Google Scholar
  12. [15] Jarosław Kotowicz. Real sequences and basic operations on them., 1(2):269-272, 1990.
    Search in Google Scholar
  13. [16] Andrzej Nedzusiak. σ-fields and probability., 1(2):401-407, 1990.
    Search in Google Scholar
  14. [17] Andrzej Trybulec. Subsets of complex numbers.
    Search in Google Scholar
  15. [18] Andrzej Trybulec. Tarski Grothendieck set theory., 1(1):9-11, 1990.
    Search in Google Scholar
  16. [19] Zinaida Trybulec. Properties of subsets., 1(1):67-71, 1990.
    Search in Google Scholar
  17. [20] Edmund Woronowicz. Relations and their basic properties., 1(1):73-83, 1990.
    Search in Google Scholar
  18. [21] Edmund Woronowicz. Relations defined on sets., 1(1):181-186, 1990.
    Search in Google Scholar
  19. [22] Bo Zhang, Hiroshi Yamazaki, and Yatsuka Nakamura. Inferior limit and superior limit of sequences of real numbers., 13(3):375-381, 2005.
    Search in Google Scholar
  20. [1] Grzegorz Bancerek. The ordinal numbers., 1(1):91-96, 1990.
    Search in Google Scholar
  21. [2] Józef Białas. Infimum and supremum of the set of real numbers. Measure theory., 2(1):163-171, 1991.
    Search in Google Scholar
  22. [3] Józef Białas. Series of positive real numbers. Measure theory., 2(1):173-183, 1991.
    Search in Google Scholar
DOI: https://doi.org/10.2478/v10037-007-0026-3 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Journal RSS Feed
Language: English
Page range: 231 - 235
Published on: Jun 9, 2008
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Related subjects:
Computer sciences,
Artificial intelligence,
Computer sciences, other,
Mathematics,
Logic and set theory,
General mathematics

© 2008 Hiroshi Yamazaki, Noboru Endou, Yasunari Shidama, Hiroyuki Okazaki, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 15 (2007): Issue 4 (December 2007)
Previous article
Next article