[1]文晓霞.一类反周期函数的双周期缺项插值问题[J].江西师范大学学报(自然科学版),2014,(01):62-64.
 WEN Xiao-xia.The Solution of 2-Periodic Lacunary Interpolation by Antiperiodic Function[J].,2014,(01):62-64.
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一类反周期函数的双周期缺项插值问题()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2014年01期
页码:
62-64
栏目:
出版日期:
2014-02-28

文章信息/Info

Title:
The Solution of 2-Periodic Lacunary Interpolation by Antiperiodic Function
作者:
文晓霞
宁夏大学物理电气信息学院,宁夏银川,750021
Author(s):
WEN Xiao-xia
关键词:
反周期函数双周期插值
Keywords:
antiperiodic2-periodicinterpolation
分类号:
O174
文献标志码:
A
摘要:
讨论了以π为周期的反周期函数双周期插值问题,建立了关于该插值问题基多项式的方程组,利用克莱默法则给出插值问题有解的充要条件,并给出该条件下插值解的表达式.
Abstract:
The 2-periodic interpolation about antiperiodic trigonometric polynomials is considered,there established series of equation on basic polynomials of interpolation,a sufficient and necessary condition was obtained and the solution of interpolation was given if it existed in the end.

参考文献/References:

[1] Sharma A,Szabados J,Varga R S.2-Periodic Lacunary Trigonometric Interpolation:the(0,m) case [C].constructive theory of function'87 Sofia:Publ House of Bulg Acad of Sci,1988,420-426.
[2] Sharma A,Sun Xiehua,A 2-periodic trigonometric interpolation problem [J].Approx Theory & its Appl,1992,8(4):1-16.
[3] Sharma A,Szabados J,Varga R S.Some 2-periodic trigonometric interpolation problems on equidistant nodes [J].Analysis,1991,11:165-190.
[4] Franz-Jurgen Delvos,Ludger Knoche.Lacunary interpolation by antiperiodic trigonometric polynomials [J].BIT,1999,39(3):439-450.
[5] Liu Yongping.On entire(0,m1,m2,…,mq)-interpolation on equidistant nodes [J].Approx.Theory & its Appl,1991,7(3):27-34.
[6] 文晓霞,候象乾,双周期(0; p,q,r)整插值 [J],江西师范大学学报:自然科学版,2004,28(1):27-31.
[7] 文晓霞,候象乾.一类反周期函数的插值问题 [J].宁夏大学学报:自然科学版,2004,25(4):293.
[8] 文晓霞.一类反周期函数的双周期插值问题 [J].宁夏大学学报:自然科学版,2011,32(1):17-20.

相似文献/References:

[1]文晓霞,李风军.一类π-反周期函数的双周期插值问题[J].江西师范大学学报(自然科学版),2017,(01):39.
 WEN Xiaoxia,LI Fengjun.The Kind of 2-Periodic Interpolation by π-Anti-Periodic Function[J].,2017,(01):39.

备注/Memo

备注/Memo:
国家自然科学基金(10962007);宁夏自然科学基金(NZ1027)
更新日期/Last Update: 1900-01-01