On Opial's type inequalities for an integral operator with homogeneous kernel

Journal of inequalities and applications

Chang-Jian Zhao¹ 

关键词: Opial's inequality;    Hölder's inequality;    Jensen's inequality;    integral operator;    homogeneous kernel;   

DOI  :  10.1186/1029-242X-2012-123

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we establish some new Opial's type integral inequalities for an integral operator with homogeneous kernel. The results in special cases yield some of the interrelated results and provide new estimates on inequalities of this type. MS (2000) Subject Classification: 26D15.

【 授权许可】

CC BY