Optimized local trigonometric bases with nonuniform partitions

Qiao Fang Lian; Yong Ge Wang; Dun Yan Yan

doi:10.1007/s10114-005-0647-9

Optimized local trigonometric bases with nonuniform partitions

Qiao Fang Lian^*
, Yong Ge Wang
, Dun Yan Yan

^*此作品的通讯作者

数学科学学院

Beijing Jiaotong University
CAS - Academy of Mathematics and System Sciences
University of Chinese Academy of Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

The authors provide optimized local trigonometric bases with nonuniform partitions which efficiently compress trigonometric functions. Numerical examples demonstrate that in many cases the proposed bases provide better compression than the optimized bases with uniform partitions obtained by Matviyenko.

源语言	英语
页（从-至）	1069-1084
页数	16
期刊	Acta Mathematica Sinica, English Series
卷	22
期	4
DOI	https://doi.org/10.1007/s10114-005-0647-9
出版状态	已出版 - 7月 2006

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title = "Optimized local trigonometric bases with nonuniform partitions",

abstract = "The authors provide optimized local trigonometric bases with nonuniform partitions which efficiently compress trigonometric functions. Numerical examples demonstrate that in many cases the proposed bases provide better compression than the optimized bases with uniform partitions obtained by Matviyenko.",

keywords = "Bell functions, Nonuniform partitions, Optimized local trigonometric bases",

author = "Lian, \{Qiao Fang\} and Wang, \{Yong Ge\} and Yan, \{Dun Yan\}",

year = "2006",

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AU - Lian, Qiao Fang

AU - Wang, Yong Ge

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AB - The authors provide optimized local trigonometric bases with nonuniform partitions which efficiently compress trigonometric functions. Numerical examples demonstrate that in many cases the proposed bases provide better compression than the optimized bases with uniform partitions obtained by Matviyenko.

KW - Bell functions

KW - Nonuniform partitions

KW - Optimized local trigonometric bases

UR - https://www.scopus.com/pages/publications/33746406354

U2 - 10.1007/s10114-005-0647-9

DO - 10.1007/s10114-005-0647-9

M3 - 文章

AN - SCOPUS:33746406354

SN - 1439-8516

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EP - 1084

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

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Optimized local trigonometric bases with nonuniform partitions

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