作者:Borwein, P; Erdelyi, T
作者单位:Texas A&M University System; Texas A&M University College Station
摘要:The principal result of this paper. is a Remez-type inequality for Muntz polynomials: p(x):= (n) Sigma(i=0) aix(lambda i), or equivalently for Dirichlet sums: P(t) := (n) Sigma(i=0) aie(-lambda it), where 0 = lambda(0) < lambda(1) < lambda(2) < .... The most useful form of this inequality states that for every sequence (lambda(i))(infinity)(i=0) satisfying Sigma(i=1)(infinity) 1/lambda(i) < infinity, there is a constant c depending only on Lambda := (lambda(i))(infinity)(i=0) and s (and not on...