# Integral of Real-Valued Measurable Function 1

Yasunari Shidama; Noboru Endou

Formalized Mathematics (2006)

- Volume: 14, Issue: 4, page 143-152
- ISSN: 1426-2630

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topYasunari Shidama, and Noboru Endou. " Integral of Real-Valued Measurable Function 1 ." Formalized Mathematics 14.4 (2006): 143-152. <http://eudml.org/doc/267457>.

@article{YasunariShidama2006,

abstract = {Based on [16], authors formalized the integral of an extended real valued measurable function in [12] before. However, the integral argued in [12] cannot be applied to real-valued functions unconditionally. Therefore, in this article we have formalized the integral of a real-value function.},

author = {Yasunari Shidama, Noboru Endou},

journal = {Formalized Mathematics},

keywords = {formalization of Riemann integral},

language = {eng},

number = {4},

pages = {143-152},

title = { Integral of Real-Valued Measurable Function 1 },

url = {http://eudml.org/doc/267457},

volume = {14},

year = {2006},

}

TY - JOUR

AU - Yasunari Shidama

AU - Noboru Endou

TI - Integral of Real-Valued Measurable Function 1

JO - Formalized Mathematics

PY - 2006

VL - 14

IS - 4

SP - 143

EP - 152

AB - Based on [16], authors formalized the integral of an extended real valued measurable function in [12] before. However, the integral argued in [12] cannot be applied to real-valued functions unconditionally. Therefore, in this article we have formalized the integral of a real-value function.

LA - eng

KW - formalization of Riemann integral

UR - http://eudml.org/doc/267457

ER -

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## Citations in EuDML Documents

top- Yasushige Watase, Noboru Endou, Yasunari Shidama, On L 1 Space Formed by Real-Valued Partial Functions
- Keiko Narita, Noboru Endou, Yasunari Shidama, Integral of Complex-Valued Measurable Function
- Yasushige Watase, Noboru Endou, Yasunari Shidama, On L 1 Space Formed by Complex-Valued Partial Functions
- Keiko Narita, Noboru Endou, Yasunari Shidama, Lebesgue's Convergence Theorem of Complex-Valued Function
- Hiroyuki Okazaki, Yasunari Shidama, Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables
- Keiko Narita, Noboru Endou, Yasunari Shidama, The Measurability of Complex-Valued Functional Sequences
- Hiroyuki Okazaki, Yasunari Shidama, Probability on Finite Set and Real-Valued Random Variables
- Yasushige Watase, Noboru Endou, Yasunari Shidama, On L p Space Formed by Real-Valued Partial Functions

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