index of inequalities


Inequalities for reals and complex numbers

  1. 1.

    The triangle inequalityMathworldMathworldPlanetmathPlanetmath. If a,b,c are real numbers, then

    ||a-c|-|b-c|||a-b||a-c|+|b-c|.
  2. 2.

    Nesbitt’s inequalityMathworldPlanetmath

  3. 3.

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

  4. 4.

    Bernoulli’s inequality

  5. 5.

    Schur’s inequality

  6. 6.

Inequalities in an inner product space

  1. 1.

    Cauchy-Schwarz-Bunyakovsky inequality (http://planetmath.org/CauchySchwarzInequality)

  2. 2.

    Bessel inequality

  3. 3.

    Peetre’s inequality

Inequalities for sequences

  1. 1.
  2. 2.

    MacLaurin’s inequality

  3. 3.

    Carleman’s inequality

  4. 4.
  5. 5.
  6. 6.

    Chebyshev’s inequality and the rearrangement inequality

  7. 7.

    Muirhead’s theorem

Inequalities for functions

  1. 1.

    Jordan’s inequality for sin

  2. 2.

    Jensen’s inequality

  3. 3.

    Gronwall’s inequality

  4. 4.

    Hölder inequality

  5. 5.

    Young’s inequality

  6. 6.

    Wirtinger’s inequality

Geometric inequalities

  1. 1.
  2. 2.

    Weizenbock’s inequality

  3. 3.

Inequalities in number theory

  1. 1.

    inequality for fractions (http://planetmath.org/SummedNumeratorAndSummedDenominator)

  2. 2.

Matrix inequalities

  1. 1.

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

  2. 2.

    Hadamard’s inequality

  3. 3.
  4. 4.

    Weyl’s inequality

  5. 5.

Inequalities for cardinal numbers

  1. 1.

    Cantor’s theorem

  2. 2.

    König’s theorem

Inequalities for random variables

  1. 1.

    Markov’s inequality

  2. 2.

    Kolmogorov’s inequality

  3. 3.

    Chebyshev’s inequality (http://planetmath.org/ChebyshevsInequality2)

Inequalities in order theory

  1. 1.

    distributive inequalities

Title index of inequalities
Canonical name IndexOfInequalities
Date of creation 2013-03-22 15:41:13
Last modified on 2013-03-22 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 26-00
Classification msc 12D99
Related topic QuadraticInequality