Question:

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

Updated On: Jun 19, 2024
  • λf(x1)+(1-λ)f(x2)>f[λx1+(1-λ)x2]
  • λf(x1)+(1-λ)f(x2)<f[λx1+(1-λ)x2]
  • λf(x1)+(1-λ)f(x2)≥f[λx1+(1-λ)x2]
  • λf(x1)+(1-λ)f(x2)≤f[λx1+(1-λ)x2]
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The Correct Option is A

Solution and Explanation

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