指数型整函数的(0,Ihm1,…,Ihmq)插值问题

(0,I_h^(m_1),…,I_h^(m_q)) interpolation problem of entire functions of exponential type

通过引入积分算子,减弱被插值函数光滑性的要求,研究等距节点上的整(0,Ihm1,…,Ihmq)插值问题,给出插值问题在空间Br2σ(2r=q+1)中的正则条件,并证明插值算子的收敛性.

By introducing the entire operator,and mitigating the requirement of the smoothness of the interpolation function,the regularity condition of the entire（0,Im1h,…,Imqh） interpolation problem in the space of B2rσ（2r=q＋1） at equidistant nodes was studied and the convergence of the interpolation operator was proved,also.