Category:Inequalities

• Inequalities in information theory
• Inequality (mathematics)

*

• List of inequalities

A

• Abel's inequality
• Agmon's inequality
• Ahlswede–Daykin inequality
• AM–GM inequality
• Aristarchus's inequality
• Askey–Gasper inequality

B

• Babenko–Beckner inequality
• Bell's theorem
• Bernoulli's inequality
• Bernstein's inequality (mathematical analysis)
• Bessel's inequality
• Bihari–LaSalle inequality
• Bogomolov–Miyaoka–Yau inequality
• Bohr–Favard inequality
• Bonse's inequality
• Brezis–Gallouët inequality

C

• Carleman's inequality
• Cauchy–Schwarz inequality
• Chebyshev–Markov–Stieltjes inequalities
• Chebyshev's sum inequality
• Christ–Kiselev maximal inequality
• CHSH inequality
• Clarkson's inequalities
• Cohn-Vossen's inequality
• Correlation inequality
• Cotlar–Stein lemma
• Crossing number inequality

D

• Denjoy–Koksma inequality
• Diamagnetic inequality
• Dittert conjecture

E

• Eilenberg's inequality
• Erdős–Turán inequality

F

• Fannes–Audenaert inequality
• Fano's inequality
• Fatou's lemma
• Fekete–Szegő inequality
• Fischer's inequality
• FKG inequality
• Friedrichs's inequality

G

• Gagliardo–Nirenberg interpolation inequality
• Gårding's inequality
• Generalized mean
• Golden–Thompson inequality
• Greater-than sign
• Gregory coefficients
• Griffiths inequality
• Grothendieck inequality

H

• Hadamard three-circle theorem
• Hadamard's inequality
• Hanner's inequalities
• Hardy–Littlewood inequality
• Hardy's inequality
• Harnack's inequality
• Hausdorff–Young inequality
• Hermite–Hadamard inequality
• Hilbert's inequality
• Entropic uncertainty
• Hölder's inequality

I

• Ingleton's inequality
• Interpolation inequality

J

• Jackson's inequality
• Jensen's inequality
• Jordan's inequality
• Jørgensen's inequality

K

• Kallman–Rota inequality
• Kantorovich inequality
• Karamata's inequality
• Kato's inequality
• Khabibullin's conjecture on integral inequalities
• Korn's inequality
• Kraft–McMillan inequality
• Ky Fan inequality

L

• Ladyzhenskaya's inequality
• Landau–Kolmogorov inequality
• Landau-Mignotte bound
• Lebedev–Milin inequality
• Leggett inequality
• Leggett–Garg inequality
• Less-than sign
• Levinson's inequality
• Lieb–Oxford inequality
• Lieb–Thirring inequality
• Littlewood's 4/3 inequality
• Log sum inequality
• Łojasiewicz inequality
• Lubell–Yamamoto–Meshalkin inequality

M

• Maclaurin's inequality
• Mahler's inequality
• Markov brothers' inequality
• Mashreghi–Ransford inequality
• Max–min inequality
• Mill's Inequality
• Minkowski inequality
• Morse inequalities
• Muirhead's inequality

N

• Nesbitt's inequality
• Newton's inequalities
• Noether inequality

O

• Oscillatory integral operator

P

• Peetre's inequality
• Pisier–Ringrose inequality
• Poincaré inequality
• Poincaré separation theorem
• Pólya-Vinogradov inequality
• Popoviciu's inequality
• Purchasing power parity

Q

• QM-AM-GM-HM inequalities

R

• Rearrangement inequality
• Remez inequality
• Riesz rearrangement inequality

S

• Saint-Venant's theorem
• Schur test
• Schur-convex function
• Schur's inequality
• Titu's lemma
• Shapiro inequality
• Shearer's inequality
• Singleton bound
• Sobolev inequality
• Stechkin's lemma
• Steffensen's inequality
• Stein–Strömberg theorem
• Strichartz estimate

T

• Three spheres inequality
• Trace inequality
• Trudinger's theorem
• Tupper's self-referential formula
• Turán–Kubilius inequality
• Turán's inequalities

U

• Uncertainty principle

V

• Van der Corput inequality
• Van der Corput lemma (harmonic analysis)
• Von Neumann's inequality

W

• Weierstrass product inequality
• Welch bounds
• Weyl's inequality
• Weyl's inequality (number theory)
• Wirtinger inequality (2-forms)
• Wirtinger's inequality for functions

X

• XYZ inequality

Y

• Young's convolution inequality
• Young's inequality for products
• Young's inequality for integral operators

Z

• Z-channel (information theory)