I saw this expression on my numerical analysis class. What does $C^2[a,b]$ mean?
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3It means $f$ is twice continuously differentiable on the interval $[a,b]$. – Bernard Jun 04 '19 at 22:17
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a function with 2 continuous derivatives – J. W. Tanner Jun 04 '19 at 22:17
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It is worth highlighting the fact that $f$ has two continuous derivatives. Surprising as it may seem, there exists differentiable functions whose derivatives are discontinuous. – eepperly16 Jun 04 '19 at 22:28