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arXiv · 1507.00807

A Hardy-Littlewood Integral Inequality on Finite Intervals with a Concave Weight

Horst Alzer·Man Kam Kwong
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Abstract

A Hardy-Littlewood integral inequality on finite intervals with a concave weight is established. Given a function f on an interval [a,b], it is shown that the square of the weighted L^2 norm of its derivative f' is bounded by the product of the weighted L^2 norm of f and that of the second derivative f''.

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Horst Alzer, Man Kam Kwong. 2015-07-03. A Hardy-Littlewood Integral Inequality on Finite Intervals with a Concave Weight. https://arxiv.org/abs/1507.00807

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