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• # Artykuł - szczegóły

## Formalized Mathematics

2008 | 16 | 4 | 311-317

## Extended Riemann Integral of Functions of Real Variable and One-sided Laplace Transform

EN

### Abstrakty

EN
In this article, we defined a variety of extended Riemann integrals and proved that such integration is linear. Furthermore, we defined the one-sided Laplace transform and proved the linearity of that operator.MML identifier: INTEGR10, version: 7.9.01 4.101.1015

311-317

wydano
2008-01-01
online
2009-03-20

### Twórcy

autor
• Shinshu University, Nagano, Japan
autor
• Shinshu University, Nagano, Japan
autor
• Shinshu University, Nagano, Japan

### Bibliografia

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• [4] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definition of integrability for partial functions from R to R and integrability for continuous functions. Formalized Mathematics, 9(2):281-284, 2001.
• [5] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.
• [6] Jarosław Kotowicz. Convergent sequences and the limit of sequences. Formalized Mathematics, 1(2):273-275, 1990.
• [7] Jarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269-272, 1990.
• [8] Jarosław Kotowicz. The limit of a real function at infinity. Formalized Mathematics, 2(1):17-28, 1991.
• [9] Jarosław Kotowicz. One-side limits of a real function at a point. Formalized Mathematics, 2(1):29-40, 1991.
• [10] Yatsuka Nakamura. Half open intervals in real numbers. Formalized Mathematics, 10(1):21-22, 2002.
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• [12] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
• [13] Yuguang Yang and Yasunari Shidama. Trigonometric functions and existence of circle ratio. Formalized Mathematics, 7(2):255-263, 1998.