Simple Effective Estimation of a Smooth Alternating Series

被引:1
|
作者
Lampret, Vito [1 ]
机构
[1] Univ Ljubljana, Ljubljana, Slovenia
关键词
Alternating; Approximation; Estimating; Simple; Smooth; Summation; SUMMATION;
D O I
10.1007/s40840-019-00743-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The 2-periodic function, W* is an element of C-2(R) is constructed in such a way that the sum Sigma(n)(k=1)(-1)(k+1) f (k) can be efficiently estimated for any n is an element of N boolean OR {infinity} and for every f is an element of C-4[1, infinity) having integral(infinity)(1) vertical bar f ((4))(x)vertical bar dx < infinity.
引用
收藏
页码:1343 / 1356
页数:14
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