Skip to main content
Advances in Continuous and Discrete Models

Theory and Modern Applications

Download PDF
  • Research Article
  • Open access
  • Published:

Multiple Lebesgue integration on time scales

Advances in Difference Equations volume 2006, Article number: 026391 (2006) Cite this article

Abstract

We study the process of multiple Lebesgue integration on time scales. The relationship of the Riemann and the Lebesgue multiple integrals is investigated.

[12345678]

References

  1. Aslim G, Guseinov GSh: Weak semirings, ω -semirings, and measures. Bulletin of the Allahabad Mathematical Society 1999, 14: 1–20.

    MathSciNet  MATH  Google Scholar 

  2. Bohner M, Guseinov GSh: Partial differentiation on time scales. Dynamic Systems and Applications 2004,13(3–4):351–379.

    MathSciNet  MATH  Google Scholar 

  3. Bohner M, Guseinov GSh: Multiple integration on time scales. Dynamic Systems and Applications 2005,14(3–4):579–606.

    MathSciNet  MATH  Google Scholar 

  4. Bohner M, Peterson A: Dynamic Equations on Time Scales. Birkhäuser Boston, Massachusetts; 2001:x+358.

    Book  MATH  Google Scholar 

  5. Bohner M, Peterson A (Eds): Advances in Dynamic Equations on Time Scales. Birkhäuser Boston, Massachusetts; 2003:xii+348.

    MATH  Google Scholar 

  6. Cohn DL: Measure Theory. Birkhäuser Boston, Massachusetts; 1980:ix+373.

    Book  MATH  Google Scholar 

  7. Halmos PR: Measure Theory. D. Van Nostrand, New York; 1950:xi+304.

    Book  Google Scholar 

  8. Kolmogorov AN, Fomīn SV: Introductory Real Analysis. Dover, New York; 1975:xii+403.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, MO, 65401, USA

    Martin Bohner

  2. Department of Mathematics, Atilim University, Incek, Ankara, 06836, Turkey

    Gusein Sh Guseinov

Authors
  1. Martin Bohner
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gusein Sh Guseinov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Martin Bohner.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Bohner, M., Guseinov, G.S. Multiple Lebesgue integration on time scales. Adv Differ Equ 2006, 026391 (2006). https://doi.org/10.1155/ADE/2006/26391

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/ADE/2006/26391

Keywords