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Formalized Mathematics

2013 | 21 | 3 | 185-191

The Linearity of Riemann Integral on Functions from ℝ into Real Banach Space

EN

Abstrakty

EN
In this article, we described basic properties of Riemann integral on functions from R into Real Banach Space. We proved mainly the linearity of integral operator about the integral of continuous functions on closed interval of the set of real numbers. These theorems were based on the article [10] and we referred to the former articles about Riemann integral. We applied definitions and theorems introduced in the article [9] and the article [11] to the proof. Using the definition of the article [10], we also proved some theorems on bounded functions.

185-191

wydano
2013-10-01

Twórcy

autor
• Hirosaki-city Aomori, Japan
autor
• Gifu National College of Technology Japan
autor
• Shinshu University Nagano, Japan

Bibliografia

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