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Inequalities

Table of contents

Probabilistic inequalities

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Azuma's inequality

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BRS-inequality

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Bennett's inequality

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Bernstein inequalities (probability theory)

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Berry–Esseen theorem

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Bobkov's inequality

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Boole's inequality

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Borell–TIS inequality

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Cantelli's inequality

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Cheeger bound

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Chernoff bound

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Chung–Erdős inequality

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Concentration inequality

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Doob's martingale inequality

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Doob martingale

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Eaton's inequality

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Etemadi's inequality

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Gauss's inequality

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Gaussian isoperimetric inequality

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Hoeffding's inequality

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Hoeffding's lemma

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Hsu–Robbins–Erdős theorem

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Janson inequality

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Kunita–Watanabe inequality

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Le Cam's theorem

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Lorden's inequality

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Marcinkiewicz–Zygmund inequality

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McDiarmid's inequality

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Multidimensional Chebyshev's inequality

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Paley–Zygmund inequality

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Ross's conjecture

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Van den Berg–Kesten inequality

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Ville's inequality

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Vitale's random Brunn–Minkowski inequality

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Vysochanskij–Petunin inequality

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Rearrangement inequalities

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Statistical inequalities

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Bhatia–Davis inequality

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Binomial sum variance inequality

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Chapman–Robbins bound

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Popoviciu's inequality on variances

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Samuelson's inequality

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Abel's inequality

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Babenko–Beckner inequality

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Bernoulli's inequality

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Bessel's inequality

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Bihari–LaSalle inequality

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CHSH inequality

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Cohn-Vossen's inequality

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Diamagnetic inequality

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Eilenberg's inequality

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Fannes–Audenaert inequality

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Fischer's inequality

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Gagliardo–Nirenberg interpolation inequality

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Grothendieck inequality

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Gårding's inequality

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HM-GM-AM-QM inequalities

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Hadamard's inequality

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Hadamard three-circle theorem

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Hardy's inequality

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Harnack's inequality

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Hausdorff–Young inequality

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Hermite–Hadamard inequality

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Interpolation inequality

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Jordan's inequality

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Kallman–Rota inequality

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Korn's inequality

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Kraft–McMillan inequality

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Ladyzhenskaya's inequality

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Landau-Mignotte bound

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Landau–Kolmogorov inequality

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Lebedev–Milin inequality

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Levinson's inequality

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Lieb–Oxford inequality

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Lieb–Thirring inequality

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List of inequalities

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Mashreghi–Ransford inequality

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Max–min inequality

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Nesbitt's inequality

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Noether inequality

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Pisier–Ringrose inequality

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Popoviciu's inequality

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Purchasing power parity

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Schur test

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Shapiro inequality

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Sobolev inequality

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Three spheres inequality

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Tupper's self-referential formula

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Van der Corput inequality

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Weierstrass product inequality

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Welch bounds

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Young's convolution inequality

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