SOME REMARKs ON OVERCONVERGENCE OF HERMITE INTERPOLATING POLYNOMIALS

• 出 处: 分析理论与应用：英文刊
• 发表日期: 1994年3期
• 关键词: WALSH INTEGER holds CONSTANTS proof analytic satis NONNEGATIVE otherwise 二止
• 基金项目: The Project is supported by National Natural Science Foundation of China.

In this paper. a quantitative estimate for Hermite interpolant to function ψ(z)=(z~m-β~m)~l on the ze-ros of (z~n-α~n)~r is obtained Using this estimate. a rather wide exiension of the theorem of Walsh isproved and five special cases of it are given.