On a Multiple Hilbert Type Integral Inequality with the Homogeneous Kernel of 0-Degree

DOI

10.2991/icmse-17.2017.67How to use a DOI?

Keywords

Hilbert inequality; multiple Hilbert type inequality; best possible constant

Abstract

By introducing a homogeneous kernel of 0-degree with an independent parameter ,and estimating the weight function through the real function techniques, we give a multiple Hilbert type integral inequality with a best possible constant factor, in which the best possible constant factor also contains hypergemetric function.

Copyright

© 2017, 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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TY  - CONF
AU  - Baoju Sun
PY  - 2017/04
DA  - 2017/04
TI  - On a Multiple Hilbert Type Integral Inequality with the Homogeneous Kernel of 0-Degree
BT  - Proceedings of the 2017 7th International Conference on Manufacturing Science and Engineering (ICMSE 2017)
PB  - Atlantis Press
SP  - 359
EP  - 362
SN  - 2352-5401
UR  - https://doi.org/10.2991/icmse-17.2017.67
DO  - 10.2991/icmse-17.2017.67
ID  - Sun2017/04
ER  -