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On Optimal Quadrature Formula And Optimal Recovery on Some Classes of Periodic Functions
On Optimal Quadrature Formula And Optimal Recovery on Some Classes of Periodic Functions

房艮孙
Fang Gensun

(Beijing Normal University

收稿日期: 1986-09-25
出版日期: 1986-07-15

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摘要  Let P_r(t)is a monic polynomial of order r with real coefficients and (p_r),(p_r)be the classes of 2π-periodic solutions of differential equations P_r(d/dt)f(t)=u(t), with ||u(·)||_q≤1 and ||u_(·)||_q≤1, respectively, where u-(t)=max{-u(t),0}.Denote (ψ)a set of classes of 2π-periodic convolutions In- troduced by .Let B_r(t) be generalized Bernoulli function of operator P_r(d/dt).set
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