The necessary and sufficient conditions for the existence of a kind of Hilbert-type multiple integral inequality with the non-homogeneous kernel and its applications
Abstract For x = ( x 1 , … , x n ) ${x}= ( {x}_{1},\ldots, {x}_{{n}} )$ , u ( x ) = ( ∑ i = 1 n a i x i ρ ) 1 / ρ ${u} ( {x} ) = ( \sum_{{i}=1}^{{n}} {a}_{{i}} {x}_{{i}}^{\rho} )^{1/\rho}$ , v ( y ) = ( ∑ i = 1 n b i y i ρ ) 1 / ρ ${v} ( {y} ) = ( \sum_{{i}=1}^{{n}} {b}_{{i}} {y}_{{i}}^{\rho} )^{1/\...
Main Authors: | Yong Hong, Qiliang Huang, Bicheng Yang, Jianquan Liao |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2017-12-01
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Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-017-1592-8 |
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