The discrete analogue of a differential operator and its applications

被引：9
|
作者：
Hayotov, Abdullo Rakhmonovich [1 ]
机构：
[1] Natl Univ Uzbekistan, Inst Math, Tashkent 100125, Uzbekistan
来源：
LITHUANIAN MATHEMATICAL JOURNAL | 2014年 / 54卷 / 03期
关键词：
differential operator; discrete analogue; Hilbert space; discrete argument functions; optimal quadrature formula; interpolation spline minimizing seminorm; INTERPOLATION;
D O I：
10.1007/s10986-014-9244-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a discrete analogue D (m) (h beta) of the differential operator d(2m) /dx (2m) + 2 omega (2)d(2m-2) /dx (2m-2) + omega (4)d(2m-4) /dx (2m-4) for any m a parts per thousand yen 2. In the case m = 2, we apply in the Hilbert space K (2)(P (2)) the discrete analogue D (2)(h beta) for construction of optimal quadrature formulas and interpolation splines minimizing the seminorm, which are exact for trigonometric functions sin omega x and cos omega x.
引用
收藏
页码：290 / 307
页数：18
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