| 双周期(0,δM)插值及其逼近 |
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| 引用本文： | 文晓霞.双周期(0,δM)插值及其逼近[J].宁夏大学学报(自然科学版),2006,27(4):301-304,307. |
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| 作者姓名： | 文晓霞 |
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| 作者单位： | 宁夏大学,物理电气信息学院,宁夏,银川,750021 |
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| 基金项目： | 宁夏大学校科研和教改项目 |
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| 摘 要： | 将双用期（0，m）插值问题推广到了双周期（0，δ^M）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．
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| 关 键 词： | 三角多项式 双周期 (0 δM)插值 逼近 |
| 文章编号： | 0253-2328（2006）04-0301-04 |
| 收稿时间： | 2005-04-15 |
| 修稿时间： | 2005-04-15 |
Double-Periodic-Interpolation and Its Approximation |
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| Wen Xiaoxia.Double-Periodic-Interpolation and Its Approximation[J].Journal of Ningxia University(Natural Science Edition),2006,27(4):301-304,307. |
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| Authors: | Wen Xiaoxia |
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| Abstract: | 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. |
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