[R] best polynomial approximation

Patrizio Frederic frederic.patrizio at gmail.com
Mon May 17 23:53:29 CEST 2010

Dear R-users,
I learned today that there exists an interesting topic in numerical
analysis names "best polynomial approximation" (BSA). Given a function
f  the BSA of degree k, say pk, is the polynomial such that

pk=arginf sup(|f-pk|)

Although given some regularity condition of f, pk is unique, pk IS NOT
calculated with least square. A quick google tour show a rich field of
research and many algorithms proposed for computing such a task.

I was wondered if some of you knows about some R implementations
(packages) for computing BSA.

Many thanks in advance,


as usual I apologize for my fragmented English

| Patrizio Frederic, PhD
| Assistant Professor,
| Department of Economics,
| University of Modena and Reggio Emilia,
| Via Berengario 51,
| 41100 Modena, Italy
| tel:  +39 059 205 6727
| fax:  +39 059 205 6947
| mail: patrizio.frederic at unimore.it

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