Explicit optimal quadratic-spline construction for C^{1,1} monotone Hermite interpolation minimizing ||F''||_infty, plus a formula for the monotone trace seminorm and a controlled mollification to C^2.
An energy-minimization framework for monotonic cubic spline interpolation.Journal of Computational and Applied Mathematics, 143(2):145–188
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Optimal $C^{1,1}$ and Quasi-Optimal $C^2$ Monotone Interpolation with Curvature Control
Explicit optimal quadratic-spline construction for C^{1,1} monotone Hermite interpolation minimizing ||F''||_infty, plus a formula for the monotone trace seminorm and a controlled mollification to C^2.