Hardy's inequality
inequality relating a real number greater than 1 and a sequence of non-negative numbers
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Hardy's inequality
Summary
Hardy's inequality is a theorem[1]. It draws 90 Wikipedia views per month (theorem category, ranking #218 of 1,306).[2]
Key Facts
- Hardy's inequality's instance of is recorded as theorem[3].
- Hardy's inequality's instance of is recorded as inequality[4].
- G.H. Hardy is named after Hardy's inequality[5].
- Hardy's inequality's Freebase ID is recorded as /m/0h0f6j[6].
- Hardy's inequality's defining formula is recorded as \sum_{n=1}^\infty \left (\frac{a_1+a_2+\cdots +a_n}{n}\right )^p<\left (\frac{p}{p-1}\right )^p\sum_{n=1}^\infty a_n^p<sup id="cite-C10" class="cite-ref" title="Hardy's inequality — defining formula (P2534): \sum_{n=1}^\infty \left (\frac{a_1+a_2+\cdots +a_n}{n}\right )^p<\left (\frac{p}{p-1}\right )^p\sum_{n=1}^\infty a_n^p">[7].
- Hardy's inequality's MathWorld ID is recorded as HardysInequality[8].
- Hardy's inequality's maintained by WikiProject is recorded as WikiProject Mathematics[9].
- Hardy's inequality's Microsoft Academic ID is recorded as 2776277431[10].
Why It Matters
Hardy's inequality draws 90 Wikipedia views per month (theorem category, ranking #218 of 1,306).[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[11]