List of inequalities
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This page lists Wikipedia articles about named mathematical inequalities.
Contents |
[edit] Inequalities in pure mathematics
[edit] Analysis
- Bernoulli's inequality
- Bernstein's inequality (mathematical analysis)
- Bessel's inequality
- Borell-Brascamp-Lieb inequality
- Carleman's inequality
- Chebyshev-Markov-Stieltjes inequalities
- Chebyshev's sum inequality
- Clarkson's inequalities
- Fenchel's inequality
- Friedrichs' inequality
- Gårding's inequality
- Grothendieck inequality
- Hanner's inequalities
- Hardy's inequality
- Harnack's inequality
- Hermite–Hadamard inequality
- Hölder's inequality
- Jackson's inequality
- Jensen's inequality
- Kantorovich inequality
- Korn's inequality
- Landau-Kolmogorov inequality
- Markov brothers' inequality
- Minkowski's inequality
- Poincaré inequality
- Remez inequality
- Shapiro inequality
- Sobolev inequality
- Steffensen's inequality
- Trudinger's theorem
- Turán's inequalities
- Von Neumann's inequality
- Wirtinger's inequality for functions
[edit] Inequalities relating to means
- Inequality of arithmetic and geometric means
- Ky Fan inequality
- MacLaurin's inequality
- Muirhead's inequality
- Newton's inequalities
- Young's inequality
[edit] Combinatorics
- Fisher's inequality
- Lubell-Yamamoto-Meshalkin inequality
- Nesbitt's inequality
- Rearrangement inequality
- Schur's inequality
[edit] Differential equations
[edit] Geometry
- Barrow's inequality
- Bishop-Gromov inequality
- Brascamp-Lieb inequality
- Brunn-Minkowski inequality
- Erdős–Mordell inequality
- Euler's theorem in geometry
- Gromov's inequality for complex projective space
- Gromov's systolic inequality for essential manifolds
- Hadamard's inequality
- Hadwiger-Finsler inequality
- Isoperimetric inequality
- Jung's theorem
- Loewner's torus inequality
- Loomis-Whitney inequality
- Milman's reverse Brunn-Minkowski inequality
- Minkowski's first inequality for convex bodies
- Ono's inequality
- Pedoe's inequality
- Ptolemy's inequality
- Pu's inequality for the real projective plane
- Riemannian Penrose inequality
- Triangle inequality
- Weitzenböck's inequality
- Wirtinger inequality (2-forms)
[edit] Information theory
[edit] Linear algebra
- Abel's inequality
- Cauchy-Schwarz inequality
- Golden-Thompson inequality
- Peetre's inequality
- Triangle inequality
- Weyl's inequality
[edit] Number theory
[edit] Probability theory
- An inequality on location and scale parameters (of probability distributions)
- Azuma's inequality
- Bernstein inequalities (probability theory)
- Boole's inequality
- Chebyshev's inequality
- Chernoff's inequality
- Cramér-Rao inequality
- Dvoretzky-Kiefer-Wolfowitz inequality
- Entropy power inequality
- Etemadi's inequality
- Gaussian isoperimetric inequality
- Gibbs' inequality
- Hoeffding's inequality
- Kolmogorov's inequality
- le Cam's theorem
- Markov's inequality
- McDiarmid's inequality
- Paley–Zygmund inequality
- Vitale's random Brunn-Minkowski inequality
- Vysochanskiï-Petunin inequality
