Reproduction capabilities of penalized hyperbolic-polynomial splines

نویسندگان

چکیده

This paper investigates two important analytical properties of hyperbolic-polynomial penalized splines, HP-splines for short. HP-splines, obtained by combining a special type difference penalty with B-splines (HB-splines), were recently introduced the authors as generalization P-splines. HB-splines are bell-shaped basis functions consisting segments made real exponentials eαx,e−αx and linear multiplied these exponentials, xe+αx xe−αx. Here, we show that types splines reproduce in space {e−αx,xe−αx}, is they fit exponential data exactly. Moreover, conserve first second ‘exponential’ moments.

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ژورنال

عنوان ژورنال: Applied Mathematics Letters

سال: 2022

ISSN: ['1873-5452', '0893-9659']

DOI: https://doi.org/10.1016/j.aml.2022.108133