A class of Hilbert-type multiple integral inequalities with the kernel of generalized homogeneous function and its applications
Abstract Let x = ( x 1 , x 2 , … , x n ) $x=(x_{1},x_{2},\ldots,x_{n})$ , and let K ( u ( x ) , v ( y ) ) $K(u(x),v(y))$ satisfy u ( r x ) = r u ( x ) $u(rx)=ru(x)$ , v ( r y ) = r v ( y ) $v(ry)=rv(y)$ , K ( r u , v ) = r λ λ 1 K ( u , r − λ 1 λ 2 v ) $K(ru,v)=r^{\lambda\lambda_{1}}K(u, r^{-\frac{\...
Main Authors: | Yong Hong, Jianquan Liao, Bicheng Yang, Qiang Chen |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2020-05-01
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Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-020-02401-0 |
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