Simple Effective Estimation of a Smooth Alternating Series

被引：1

作者：

Lampret, Vito ^{[1
]}

机构：

[1] Univ Ljubljana, Ljubljana, Slovenia

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 02期

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

页码：1343 / 1356

页数：14

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