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

Question

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

cdquestions Admin · Accepted Answer

The correct option is(A): λf(x 1 )+(1-λ)f(x 2 )>f[λx 1 +(1-λ)x 2 ]

Answer

λf(x₁)+(1-λ)f(x₂)>f[λx₁+(1-λ)x₂]

Answer

λf(x₁)+(1-λ)f(x₂)1+(1-λ)x₂]

Answer

λf(x₁)+(1-λ)f(x₂)≥f[λx₁+(1-λ)x₂]

Answer

λf(x₁)+(1-λ)f(x₂)≤f[λx₁+(1-λ)x₂]

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