On integer Chebyshev polynomials

نویسندگان

  • Laurent Habsieger
  • Bruno Salvy
چکیده

We are concerned with the problem of minimizing the supremum norm on [0, 1] of a nonzero polynomial of degree at most n with integer coefficients. We use the structure of such polynomials to derive an efficient algorithm for computing them. We give a table of these polynomials for degree up to 75 and use a value from this table to answer an open problem due to P. Borwein and T. Erdélyi and improve a lower bound due to Flammang et al.

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عنوان ژورنال:
  • Math. Comput.

دوره 66  شماره 

صفحات  -

تاریخ انتشار 1997