A Hardy-Littlewood Integral Inequality on Finite Intervals with a Concave Weight
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🧮 math.CA
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concavederivativefinitehardy-littlewoodinequalityintegralintervalsnorm
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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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