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Two-sided Hardy-type inequalities for monotone functions. (English) Zbl 1217.26034

Some 2-sided Hardy-type inequalities on the cones of monotone functions with positive \(\sigma\)-finite Borel measure are established. As an application, the equivalence of a discrete Hardy inequality with a simple inequality on monotone sequences is obtained.

MSC:

26D10 Inequalities involving derivatives and differential and integral operators
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