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index of inequalities (Topic)

Inequalities for reals and complex numbers

  1. The triangle inequality. If $ a,b,c$ are real numbers, then
    $\displaystyle \bigl\vert \vert a-c\vert - \vert b-c\vert \bigr\vert \le \vert a-b\vert \le \vert a-c\vert + \vert b-c\vert.$
  2. Nesbitt's inequality
  3. Young's inequality
  4. Bernoulli's inequality
  5. Schur's inequality
  6. quadratic inequality

Inequalities in an inner product space

  1. Cauchy-Schwarz-Bunyakovsky inequality
  2. Bessel inequality
  3. Peetre's inequality

Inequalities for sequences

  1. Shapiro inequality
  2. MacLaurin's inequality
  3. Carleman's inequality
  4. arithmetic-geometric-harmonic means inequality and the general means inequality
  5. Minkowski inequality
  6. Chebyshev's inequality and the rearrangement inequality
  7. Muirhead's theorem

Inequalities for functions

  1. Jordan's inequality for $ \sin$
  2. Jensen's inequality
  3. Gronwall's inequality
  4. Hölder inequality
  5. Young's inequality
  6. Wirtinger's inequality

Geometric inequalities

  1. Hadwiger-Finsler inequality
  2. Weizenbock's inequality
  3. Brunn-Minkowski inequality

Inequalities in number theory

  1. inequality for fractions
  2. Liouville approximation theorem

Matrix inequalities

  1. Schur's inequality
  2. Hadamard's inequality
  3. Wielandt-Hoffman theorem
  4. Weyl's inequality
  5. Frobenius inequality

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

Inequalities in order theory

  1. distributive inequalities



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See Also: quadratic inequality

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Cross-references: distributive inequalities, Kolmogorov's inequality, Markov's inequality, König's theorem, Cantor's theorem, Frobenius inequality, Weyl's inequality, Wielandt-Hoffman theorem, Hadamard's inequality, Liouville approximation theorem, Brunn-Minkowski inequality, Weizenbock's inequality, Hadwiger-Finsler inequality, Wirtinger's inequality, Young's inequality, Hölder inequality, Gronwall's inequality, Jensen's inequality, Jordan's inequality, Muirhead's theorem, rearrangement inequality, Chebyshev's inequality, Minkowski inequality, general means inequality, arithmetic-geometric-harmonic means inequality, Carleman's inequality, MacLaurin's inequality, Shapiro inequality, Peetre's inequality, Bessel inequality, quadratic inequality, Schur's inequality, Bernoulli's inequality, Nesbitt's inequality, real numbers, triangle inequality
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This is version 12 of index of inequalities, born on 2006-02-17, modified 2008-04-20.
Object id is 7629, canonical name is IndexOfInequalities.
Accessed 3673 times total.

Classification:
AMS MSC12D99 (Field theory and polynomials :: Real and complex fields :: Miscellaneous)
 26-00 (Real functions :: General reference works )
 54C30 (General topology :: Maps and general types of spaces defined by maps :: Real-valued functions)

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