Question

For a strictly convex function f(x), which one of the following is true? [0 < λ< 1]

• A. λf(x₁)+(1-λ)f(x₂)>f[λx₁+(1-λ)x₂]
• B. λf(x₁)+(1-λ)f(x₂)<f[λx₁+(1-λ)x₂]
• C. λf(x₁)+(1-λ)f(x₂)≥f[λx₁+(1-λ)x₂]
• D. λf(x₁)+(1-λ)f(x₂)≤f[λx₁+(1-λ)x₂]

Answer 1

The Correct Option is A

The correct option is(A): λf(x₁)+(1-λ)f(x₂)>f[λx₁+(1-λ)x₂]