Jensen's inequality

f(tx1 + (1−t)x2) ≤ tf(x1) + (1−t)f(x2)

or a convex ( = concave up) function f and 0 ≤ t ≤ 1. This implies that the chord connecting the points (x1,f(x1)) and (x2,f(x2)) lies above the graph y = f(x) for the interval x1 ≤ x ≤  x2. In probability, the inequality is commonly expressed as f(E(X))≤E(f(X)) where X is a random variable.

• category
• category error
• catenary
• catenoid
• Cauchy, Augustin-Louis
• Cauchy convergence criterion
• Cauchy distribution
• Cauchy-Frobenius lemma
• Cauchy integral test
• Cauchy sequence
• Cauchy's formula for derivatives
• Cauchy's integral formula
• Cauchy's Integral Theorem
• Cauchy's mean value theorem
• Cauchy's Residue Theorem
• Cauchy's test
• Cauchy's Theorem
• Cauchy's Theorem
• Cauchy–Riemann equations
• Cauchy–Schwarz inequality
• Cauchy–Schwarz inequality for integrals
• Cauchy–Schwarz inequality for sums
• causation
• Cavalieri, Bonaventura
• Cayley, Arthur