l～∞（Z）到L～∞（R）上高斯基插值算子范数的估计

Estimation of the Norm for Gaussian Cardinal Interpolation Operator From l～∞（Z） To L～∞（R）

研究lp(Z)到Lp(R)上高斯基插值算子￡λ的算子范数‖￡λ‖p(Lebesgue常数)的渐进行为.通过改进Sivakuma的证明技巧,对p=+∞建立了‖￡λ‖∞的一个新的估计.

In this paper,asymptotic behavior of Gaussian cardinal-interpolation operator ￡λfrom lp（ Z） to Lp（ R） is studied. The norm of this operator ‖￡λ‖∞is called a Lebesgue constant. By improving Sivakuma＇s methods,the evaluation of ‖￡λ‖∞is obtained for p = ＋ ∞.