双周期（0，δ^M）插值及其逼近  

Double-Periodic-Interpolation and Its Approximation

作　　者：文晓霞[1] 

机构地区：[1]宁夏大学物理电气信息学院,宁夏银川750021

出　　处：《宁夏大学学报（自然科学版）》2006年第4期301-304,307,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：宁夏大学青年科研基金资助项目(QN0507)

摘　　要：将双周期(0,m)插值问题推广到了双周期(0,δM)插值情形,减弱了对被插值函数的可微性要求.同时给出了该插值问题成立的充分必要条件和插值表达式,并研究了其收敛性,得到了相应的收敛结果.Some good results on trigonometric polynomials double-periodic-interpolation of （0, m） interpolation were established by A. Sharma, J. Szabados and R. S. Varga. The double-periodic- interpolation was generalized in this paper, the differentiability of interpolated function was reduced and the results account to double-periodicinterpolation were obtained, convergence theory was given as well.

关 键 词：三角多项式 双周期 (0 δ^M)插值 逼近 

分 类 号：O174[理学—数学]