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Cited article:

Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms

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Journal of Scientific Computing 95 (3) (2023)
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A new B-spline type approximation method for non-smooth functions

Sergio Amat, David Levin, Juan Ruiz-Álvarez and Dionisio F. Yáñez
Applied Mathematics Letters 141 108628 (2023)
https://doi.org/10.1016/j.aml.2023.108628

The translation operator. Applications to nonlinear reconstruction operators on nonuniform grids

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Mathematics and Computers in Simulation 203 408 (2023)
https://doi.org/10.1016/j.matcom.2022.05.031

A class of C2 quasi-interpolating splines free of Gibbs phenomenon

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Numerical Algorithms 91 (1) 51 (2022)
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A Piecewise Polynomial Harmonic Nonlinear Interpolatory Reconstruction Operator on Non Uniform Grids—Adaptation around Jump Discontinuities and Elimination of Gibbs Phenomenon

Pedro Ortiz and Juan Carlos Trillo
Mathematics 9 (4) 335 (2021)
https://doi.org/10.3390/math9040335

On the Application of the Generalized Means to Construct Multiresolution Schemes Satisfying Certain Inequalities Proving Stability

Sergio Amat, Alberto Magreñan, Juan Ruiz, Juan Carlos Trillo and Dionisio F. Yañez
Mathematics 9 (5) 533 (2021)
https://doi.org/10.3390/math9050533