Effective Summation and Interpolation of Series by Self-Similar Root Approximants

被引：6

作者：

Gluzman, Simon ^{[1
]}

Yukalov, Vyacheslav I. ^{[1
]}

机构：

[1] Joint Inst Nucl Res, Bogolubov Lab Theoret Phys, Dubna 141980, Russia

来源：

MATHEMATICS | 2015年 / 3卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

asymptotic series; effective summation; root approximants; self-similar approximation theory;

D O I：

10.3390/math3020510

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a simple analytical method for effective summation of series, including divergent series. The method is based on self-similar approximation theory resulting in self-similar root approximants. The method is shown to be general and applicable to different problems, as is illustrated by a number of examples. The accuracy of the method is not worse, and in many cases better, than that of Pade approximants, when the latter can be defined.

引用

页码：510 / 526

页数：17

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