Integrability and the Integral of Partial Functions from R into R1

Noboru Endou; Yasunari Shidama; Masahiko Yamazaki

doi:10.2478/v10037-006-0023-y

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Integrability and the Integral of Partial Functions from R into R1

Formalized Mathematics

Volume 14 (2006): Issue 4 (December 2006)

By: Noboru Endou, Yasunari Shidama and Masahiko Yamazaki

Open Access

|Jun 2008

Abstract

In this paper, we showed the linearity of the indefinite integral the form of which was introduced in [11]. In addition, we proved some theorems about the integral calculus on the subinterval of [a,b]. As a result, we described the fundamental theorem of calculus, that we developed in [11], by a more general expression.

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Articles in this issue

DOI: https://doi.org/10.2478/v10037-006-0023-y | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630

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Language: English

Page range: 207 - 212

Published on: Jun 13, 2008

Published by: University of Białystok

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Related subjects:

Mathematics,

Logic and set theory,

Computer sciences,

Artificial intelligence

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

Volume 14 (2006): Issue 4 (December 2006)