On a generalization of the Lebesgue's constant

Ana Alonso Rodríguez (1) , Francesca Rapetti (2, 3)

1 UNITN - Università degli Studi di Trento = University of Trento
2 CASTOR - Control, Analysis and Simulations for TOkamak Research
3 LJAD - Laboratoire Jean Alexandre Dieudonné

In this work we generalize the definition of the Lebesgue's constant to the case of field interpolation by high-order Whitney's forms on simplices. We underline the important theoretical concepts at play.

Mots clés: polynomial differential forms; weights; Lebesgue's constant; Interpolation Polynomial

Domaines: Analyse numérique [math.NA]

Ana Alonso Rodríguez, Francesca Rapetti. On a generalization of the Lebesgue's constant. Journal of Computational Physics, 2020, ⟨10.1016/j.jcp.2020.109964⟩. ⟨hal-02946321⟩