1. bookVolume 29 (2021): Issue 4 (December 2021)
Journal Details
License
Format
Journal
eISSN
1898-9934
First Published
09 Jun 2008
Publication timeframe
4 times per year
Languages
English
access type Open Access

Improper Integral. Part II

Published Online: 09 Jul 2022
Volume & Issue: Volume 29 (2021) - Issue 4 (December 2021)
Page range: 279 - 294
Accepted: 08 Dec 2021
Journal Details
License
Format
Journal
eISSN
1898-9934
First Published
09 Jun 2008
Publication timeframe
4 times per year
Languages
English
Summary

In this article, using the Mizar system [2], [3], we deal with Riemann’s improper integral on infinite interval [1]. As with [4], we referred to [6], which discusses improper integrals of finite values.

Keywords

MSC

[1] Tom M. Apostol. Mathematical Analysis. Addison-Wesley, 1969. Search in Google Scholar

[2] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8_17. Open DOISearch in Google Scholar

[3] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6.604425130069070 Open DOISearch in Google Scholar

[4] Noboru Endou. Improper integral. Part I. Formalized Mathematics, 29(4):201–220, 2021. doi:10.2478/forma-2021-0019. Open DOISearch in Google Scholar

[5] Noboru Endou, Yasunari Shidama, and Masahiko Yamazaki. Integrability and the integral of partial functions from ℝ into ℝ. Formalized Mathematics, 14(4):207–212, 2006. doi:10.2478/v10037-006-0023-y. Open DOISearch in Google Scholar

[6] Masahiko Yamazaki, Hiroshi Yamazaki, and Yasunari Shidama. Extended Riemann integral of functions of real variable and one-sided Laplace transform. Formalized Mathematics, 16(4):311–317, 2008. doi:10.2478/v10037-008-0038-7. Open DOISearch in Google Scholar

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