Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 36

Triangle Inequality

 * $36.1$: Reverse Triangle Inequality and Triangle Inequality


 * $36.2$: General Triangle Inequality

Cauchy-Schwarz Inequality

 * $36.3$: Cauchy-Schwarz Inequality

Inequalities involving Arithmetic, Geometric and Harmonic Means

 * $36.4$: GM-HM Inequality and Cauchy's Mean Theorem


 * $36.5$: Arithmetic Mean


 * $36.6$: Geometric Mean


 * $36.7$: Harmonic Mean

Holder's Inequality

 * $36.8$: Hölder's Inequality


 * $36.9$: Positive Real Numbers whose Reciprocals Sum to 1


 * Condition for Equality

Chebyshev's Inequality

 * $36.10$: Chebyshev's Inequality


 * $36.11$: Chebyshev's Inequality: Also presented as

Minkowski's Inequality

 * $36.12$: Minkowski's Inequality

Cauchy-Schwarz Inequality for Integrals

 * $36.13$: Cauchy-Schwarz Inequality for Integrals

Holder's Inequality for Integrals

 * $36.14$: Hölder's Inequality for Integrals


 * Condition for Equality

Minkowski's Inequality for Integrals

 * $36.15$: Minkowski's Inequality for Integrals


 * Condition for Equality