Young's Inequality

Given positive numbers and whose reciprocals add up to one, the product of two positive real numbers and is less than or equal to a weighted sum of and powers of and .


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[1] R. B. Nelson, Proofs without Words II, More Exercises in Visual Thinking, Washington, DC: Mathematical Association of America, 2000.
[2] W. H. Young, "On Classes of Summable Functions and Their Fourier Series," Proceedings of the Royal Society A, 87, 1912 pp. 225–229.
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