具有两个独立参数的Hardy型积分不等式

Hardy-type integral inequalities with two independent parameters

引入2个独立参数1λ,2λ,应用权函数方法和实分析技巧,建立了若干推广的Hardy型积分不等式,并证明了其常数因子是最佳值,考虑了等价式及一些特殊结果。

By introducing two independent parameters λ1,λ2,and using weight function and the method of real analysis,we establish some extended Hardy-type integral inequalities,and prove their constant factors to be the optimum value.Also we have considered the equivalent forms and some particular results.