1. General integration and extensions. II
- 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:
- This work is a continuation of the paper (Š. Schwabik: General integration and extensions I, Czechoslovak Math.\ J. 60 (2010), 961--981). Two new general extensions are introduced and studied in the class $\frak T$ of general integrals. The new extensions lead to approximate description of the Kurzweil-Henstock integral based on the Lebesgue integral close to the results of S. Nakanishi presented in the paper (S. Nakanishi: A new definition of the Denjoy's special integral by the method of successive approximation, Math.\ Jap. 41 (1995), 217--230).
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public