A new B-spline type approximation method for non-smooth functions

Sergio Amat, David Levin, Juan Ruiz-Álvarez*, Dionisio F. Yáñez

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


In this letter we present a non-linear modification of classical quadratic and cubic splines following the inspiration of the PPH (piecewise polynomial harmonic) interpolation method. The objective is to get rid of the oscillations that appear close to jump discontinuities in the function when we approximate using a classical spline.

Original languageEnglish
Article number108628
JournalApplied Mathematics Letters
StatePublished - Jul 2023


FundersFunder number
Conselleria de Innovación
Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de MurciaCIAICO/2021/227, PID2019-108336GB-I00
Generalitat ValencianaMCIN/AEI/10.13039/501100011033, PID2020-117211GB-I00
Comunidad Autónoma de la Región de Murcia


    • Adaption to discontinuities
    • Approximation
    • B-splines
    • Discontinuous data
    • Non linear means


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