Skip to main content
Have a personal or library account? Click to login
Integrability and the Integral of Partial Functions from R into R1 Cover

Integrability and the Integral of Partial Functions from R into R1

Open Access
|Jun 2008

References

  1. [1] Grzegorz Bancerek. The fundamental properties of natural numbers., 1(1):41-46, 1990.
  2. [2] Grzegorz Bancerek. The ordinal numbers., 1(1):91-96, 1990.
  3. [3] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences., 1(1):107-114, 1990.
  4. [4] Czesław Byliński. The complex numbers., 1(3):507-513, 1990.
  5. [5] Czesław Byliński. Functions and their basic properties., 1(1):55-65, 1990.
  6. [6] Czesław Byliński. Functions from a set to a set., 1(1):153-164, 1990.
  7. [7] Czesław Byliński. Partial functions., 1(2):357-367, 1990.
  8. [8] Czesław Byliński. The sum and product of finite sequences of real numbers., 1(4):661-668, 1990.
  9. [9] Czesław Byliński and Piotr Rudnicki. Bounding boxes for compact sets in ε., 6(3):427-440, 1997.
  10. [10] Noboru Endou and Artur Korniłowicz. The definition of the Riemann definite integral and some related lemmas., 8(1):93-102, 1999.
  11. [11] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definition of integrability for partial functions from R to R and integrability for continuous functions., 9(2):281-284, 2001.
  12. [12] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Integrability of bounded total functions., 9(2):271-274, 2001.
  13. [13] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Scalar multiple of Riemann definite integral., 9(1):191-196, 2001.
  14. [14] Krzysztof Hryniewiecki. Basic properties of real numbers., 1(1):35-40, 1990.
  15. [15] Jarosław Kotowicz. Convergent sequences and the limit of sequences., 1(2):273-275, 1990.
  16. [16] Jarosław Kotowicz. Partial functions from a domain to the set of real numbers., 1(4):703-709, 1990.
  17. [17] Jarosław Kotowicz. Real sequences and basic operations on them., 1(2):269-272, 1990.
  18. [18] Jarosław Kotowicz and Yatsuka Nakamura. Introduction to Go-board - part I., 3(1):107-115, 1992.
  19. [19] Konrad Raczkowski and Paweł Sadowski. Real function continuity., 1(4):787-791, 1990.
  20. [20] Konrad Raczkowski and Paweł Sadowski. Real function differentiability., 1(4):797-801, 1990.
  21. [21] Konrad Raczkowski and Paweł Sadowski. Topological properties of subsets in real numbers., 1(4):777-780, 1990.
  22. [22] Andrzej Trybulec. Subsets of complex numbers.
  23. [23] Andrzej Trybulec. Tarski Grothendieck set theory., 1(1):9-11, 1990.
  24. [24] Michał J. Trybulec. Integers., 1(3):501-505, 1990.
  25. [25] Zinaida Trybulec. Properties of subsets., 1(1):67-71, 1990.
  26. [26] Edmund Woronowicz. Relations and their basic properties., 1(1):73-83, 1990.
  27. [27] Edmund Woronowicz. Relations defined on sets., 1(1):181-186, 1990.
DOI: https://doi.org/10.2478/v10037-006-0023-y | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 207 - 212
Published on: Jun 13, 2008
Published by: University of Białystok
In partnership with: Paradigm Publishing Services

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