Polynomial Approximations for Some Elementary Functions

被引：0

作者：

Ahmad, F. ^{[1
]}

Albarakati, W. H. ^{[2
]}

机构：

[1] Natl Univ Sci & Technol, Ctr Adv Math & Phys, Reshawar Rd, Rawalpindi, Pakistan

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21454, Saudi Arabia

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2009年 / 33卷 / 04期

关键词：

Polynomial approximation; Approaching function; Accelerated convergence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the homotopy analysis method to generate polynomial approximations for the functions tan(-1) x, ln(1+x), e(-x) and sin x. An optimum choice of the free parameter h produces a polynomial which fits the function over a much larger interval as compared with the corresponding truncated Maclaurin polynomial for the same function.

引用

页码：613 / 621

页数：9

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