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A discrete Hilbert-type inequality in the whole plane

Authors :
Dongmei Xin
Bicheng Yang
Qiang Chen
Source :
Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-12 (2016)
Publication Year :
2016
Publisher :
SpringerOpen, 2016.

Abstract

Abstract By the use of weight coefficients and technique of real analysis, a discrete Hilbert-type inequality in the whole plane with multi-parameters and a best possible constant factor is given. The equivalent forms, the operator expressions, and a few particular inequalities are considered.

Details

Language :
English
ISSN :
1029242X
Volume :
2016
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Journal of Inequalities and Applications
Publication Type :
Academic Journal
Accession number :
edsdoj.725525864b0b4739acc26d5c1b098ad5
Document Type :
article
Full Text :
https://doi.org/10.1186/s13660-016-1075-3