Persson, Lars-Erik; Oinarov, Ryskul; Shaimardan, Serikbol
(Journal of Inequalities and Applications, 2018)
The first power weighted version of Hardy's inequality can be rewritten as
integral(infinity)(0) (x(alpha-1) integral(x)(0) 1/t(alpha)f(t)dt)(p) dx <= [p/p - alpha - 1](p) integral(infinity)(0)f(p)(x)dx, f >= 0, p >= ...