index of inequalities
Inequalities for reals and complex numbers

1.
The triangle inequality^{}. If $a,b,c$ are real numbers, then
$$\leftacbc\right\le ab\le ac+bc.$$ 
2.
Nesbitt’s inequality^{}

3.
Young’s inequality (http://planetmath.org/YoungInequality)

4.
Bernoulli’s inequality

5.
Schur’s inequality
 6.
Inequalities in an inner product space

1.
CauchySchwarzBunyakovsky inequality (http://planetmath.org/CauchySchwarzInequality)

2.
Bessel inequality

3.
Peetre’s inequality
Inequalities for sequences
 1.

2.
MacLaurin’s inequality

3.
Carleman’s inequality
 4.
 5.

6.
Chebyshev’s inequality and the rearrangement inequality

7.
Muirhead’s theorem
Inequalities for functions

1.
Jordan’s inequality for $\mathrm{sin}$

2.
Jensen’s inequality

3.
Gronwall’s inequality

4.
Hölder inequality

5.
Young’s inequality

6.
Wirtinger’s inequality
Geometric inequalities
 1.

2.
Weizenbock’s inequality
 3.
Inequalities in number theory

1.
inequality for fractions (http://planetmath.org/SummedNumeratorAndSummedDenominator)
 2.
Matrix inequalities

1.
Schur’s inequality (http://planetmath.org/ShursInequality)

2.
Hadamard’s inequality
 3.

4.
Weyl’s inequality
 5.
Inequalities for cardinal numbers

1.
Cantor’s theorem

2.
König’s theorem
Inequalities for random variables

1.
Markov’s inequality

2.
Kolmogorov’s inequality

3.
Chebyshev’s inequality (http://planetmath.org/ChebyshevsInequality2)
Inequalities in order theory

1.
distributive inequalities
Title  index of inequalities 

Canonical name  IndexOfInequalities 
Date of creation  20130322 15:41:13 
Last modified on  20130322 15:41:13 
Owner  matte (1858) 
Last modified by  matte (1858) 
Numerical id  15 
Author  matte (1858) 
Entry type  Topic 
Classification  msc 54C30 
Classification  msc 2600 
Classification  msc 12D99 
Related topic  QuadraticInequality 