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{\...

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Bibliographic Details
Main Authors: Yong Hong, Jianquan Liao, Bicheng Yang, Qiang Chen
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02401-0