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

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

Published $\text {1968}$

Previous  ... Next

$36 \quad$ 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

Previous  ... Next