Integral of Real-Valued Measurable Function 1

Yasunari Shidama; Noboru Endou

Formalized Mathematics (2006)

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

Abstract

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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.

How to cite

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Yasunari 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 -

References

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Citations in EuDML Documents

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

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