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math.NA2023
Interpolation by integrals on balls
Ludovico Bruni Bruno, Giacomo Elefante
In this work we blend interpolation theory with numerical integration, constructing an interpolator based on integrals over -dimensional balls. We show that, under hypotheses on…
math.NA2023
Polynomial Interpolation of Function Averages on Interval Segments
Ludovico Bruni Bruno, Wolfgang Erb
Motivated by polynomial approximations of differential forms, we study analytical and numerical properties of a polynomial interpolation problem that relies on function averages ov…