Proceedings of the 2015 International Symposium on Computers & Informatics

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A Class of Weakly Singular Iterated Integral Inequality

Authors
Yusong Lu, Yangyun Ou
Corresponding Author
Yusong Lu
Available Online January 2015.
DOI
10.2991/isci-15.2015.256How to use a DOI?
Keywords
Integral inequality; Iterated integrals; Weakly singular integral kernel; Analysis technique; Estimation.
Abstract

In this paper, we establish a class of weakly singular integral inequality, which consists of iterated integral. Under several practical assumptions, the inequality is solved by adopting novel analysis techniques, such as: change of variable, amplification method, and inverse function. Explicit bounds for the unknown functions are given clearly.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2015 International Symposium on Computers & Informatics
Series
Advances in Computer Science Research
Publication Date
January 2015
ISBN
10.2991/isci-15.2015.256
ISSN
2352-538X
DOI
10.2991/isci-15.2015.256How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Yusong Lu
AU  - Yangyun Ou
PY  - 2015/01
DA  - 2015/01
TI  - A Class of Weakly Singular Iterated Integral Inequality
BT  - Proceedings of the 2015 International Symposium on Computers & Informatics
PB  - Atlantis Press
SP  - 1946
EP  - 1953
SN  - 2352-538X
UR  - https://doi.org/10.2991/isci-15.2015.256
DO  - 10.2991/isci-15.2015.256
ID  - Lu2015/01
ER  -