A Remez-type inequality for non-dense Muntz spaces with explicit bound Academic Article uri icon

abstract

  • Let := (k)k=0 be a sequence of distinct nonnegative real numbers with 0 := 0 and k=1 1/k < . Let (0, 1) and (0, 1 - ) be fixed. An earlier work of the authors shows that C(, , ) := sup{p [0, ] : p span{x0, x1, ...}, m({x[, 1] : |p(x)|1}) } is finite. In this paper an explicit upper bound for C(, , ) is given. In the special case k := k, > 1, our bounds are essentially sharp. 1998 Academic Press.

published proceedings

  • JOURNAL OF APPROXIMATION THEORY

author list (cited authors)

  • Borwein, P., & Erdelyi, T.

citation count

  • 1

complete list of authors

  • Borwein, Peter||Erdélyi, Tamás

publication date

  • June 1998