1. General integration and extensions. I
- Creator:
- Schwabik, Štefan
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- abstract integration, extension of integral, and Kurzweil-Henstock integration
- Language:
- English
- Description:
- A general concept of integral is presented in the form given by S. Saks in his famous book Theory of the Integral. A special subclass of integrals is introduced in such a way that the classical integrals (Newton, Riemann, Lebesgue, Perron, Kurzweil-Henstock\dots ) belong to it. \endgraf A general approach to extensions is presented. The Cauchy and Harnack extensions are introduced for general integrals. The general results give, as a specimen, the Kurzweil-Henstock integration in the form of the extension of the Lebesgue integral.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public