(0,P((1/(2h))Δh))整插值问题

(0,P((1/(2h))Δh)) Entire Interpolation Problem

通过引进差分多项式算子P(12hΔh),研究了一类等距结点上指数型整函数(0,P(12hΔh))插值问题,给出其在B2σ中有惟一解的充要条件和这种插值函数的明显式,同时讨论了插值算子的收敛性.

By introducing the difference polynomial operator P（1/2h^△h） , a kind of （0, P（1/2h^△h）） entire interpolation problem on equidistant nodes is obtained. Some equivalent conditions are established in Bσ^2 and the explicit forms of some interpolation functions on the interpolation problem are given. The convergence of the interpolation operators is discussed.