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Tag Archives: Real Analysis
Let be a twice differentiable function such that
If , find an explicit formula of .
We have successively
Let be a convex function on a convex domain and a convex non-decreasing function on . Prove that the composition of is convex on .
We want to prove that for it holds that
Let denote the Fibonacci sequence such that and . Prove that
It holds that
It follows from Cassini’s identity that
Setting back at we get
Since we get
Evaluate the integral