In mathematical analysis, Hölder's inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the ... |
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Hölder's inequality is a statement about sequences that generalizes the Cauchy-Schwarz inequality to multiple sequences and different exponents. |
Hölder's inequality for integrals states that int_a^b|f(x)g(x)|dx<=[int_a^b|f(x)|^pdx]^(1/p)[int_a^b|g( |
This is the elementary form of the Cauchy-Schwarz Inequality. We can state the inequality more concisely thus: |
The Hölder inequality, the Minkowski inequality, and the arithmetic mean and geometric mean inequality have played dominant roles in the theory of inequalities. |
29 нояб. 2012 г. · In the Hölder inequality the set S may be any set with an additive function μ (e.g. a measure) specified on some algebra of its subsets, while ... |
24 апр. 2013 г. · We establish a new reverse Hölder integral inequality and its discrete version. As applications, we prove Radon's, Jensen's reverse and weighted ... |
Videolar 8 сент. 2015 г. · A special case of Hölder inequality is Schwarz's inequality: (∫Rdf(x)g(x)dx)2≤∫Rdf(x)2dx⋅∫Rdg(x)2dx. |
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