Abstract
We have studied some new generalizations of Hardy's integral inequality using the generalized Holder's inequality.
Highlights
IntroductionThe classical Hardy’s inequality [2] states that for p > 1, 1/ p + 1/q = 1, f ≥ 0, and 0
The classical Hardy’s inequality [2] states that for p > 1, 1/ p + 1/q = 1, f ≥ 0, and 0 < ∞ 0 f p(t)dt < ∞, ∞ 0 1 x x p ∞f (t)dt dx < qp f p(t)dt, (1.1)where qp = (p/(p − 1))p is the best possible
We have studied some new generalizations of Hardy’s integral inequality using the generalized Holder’s inequality
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Summary
Introduction
The classical Hardy’s inequality [2] states that for p > 1, 1/ p + 1/q = 1, f ≥ 0, and 0
Some new generalizations of Hardy’s integral inequality
Main results
Some more generalized results
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