Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501388 | Journal of Complexity | 2005 | 18 Pages |
Abstract
Let HËâ,βr denote those 2Ï-periodic, real-valued functions f on R, which are analytic in the strip Sβâ{zâC:|Imz|<β}, β>0 and satisfy the restriction |f(r)(z)|⩽1, zâSβ. Denote by [x] the integral part of x. We prove that the rectangular formulaQN*(f)=2ÏNâj=0N-1f2ÏjNis optimal for the class of functions HËâ,βr among all quadrature formulae of the formQ2N(f)=âi=1nâj=0νi-1aijf(j)(ti),where the nodes 0⩽t1<â¯
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fang Gensun, Li Xuehua,