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

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

Published $\text {1968}$

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$36 \quad$ Inequalities

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

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