原-对偶伪样条及其性质

数学季刊 ›› 2013, Vol. 28 ›› Issue (3): 376-382.

原-对偶伪样条及其性质

YUAN De-hui, FENG Yan, SHEN Yan-feng, YANG Shou-zhi

1. Department of Mathematics, Hanshan Normal University 2. Department of Mathematics, Shantou University 3. School of Computer and Information Technology, Xinyang Normal University

收稿日期:2012-02-27 出版日期:2013-09-30 发布日期:2023-02-23
作者简介:YANG De-hui(1973-), male, native of Ganzhou, Jiangxi, an associate professor of Hanshan Normal University, Ph.D., engages in wavelets analysis and optimization theory analysis.
基金资助:
Supported by the NNSF of China(11071152)；Supported by the NSF of Guangdong(10151503101000025,S2011010004511)； Supported by the Opening Project of Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University(201206012)

Primal-dual-pseudo Spline and Its Properties

1. Department of Mathematics, Hanshan Normal University2. Department of Mathematics, Shantou University3. School of Computer and Information Technology, Xinyang Normal University

Received:2012-02-27 Online:2013-09-30 Published:2023-02-23
About author:YANG De-hui(1973-), male, native of Ganzhou, Jiangxi, an associate professor of Hanshan Normal University, Ph.D., engages in wavelets analysis and optimization theory analysis.
Supported by:
Supported by the NNSF of China(11071152)；Supported by the NSF of Guangdong (10151503101000025,S2011010004511)； Supported by the Opening Project of Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University(201206012)

摘要/Abstract

摘要： In this paper, basing on a new family of masks, namely primal-dual-pseudo spline(PDPS), we present basics of PDPSs which include the regularity, asymptotical analysis and approximation order.

关键词: primal-dual-pseudo spline, Riesz wavelet, regularity

Abstract: In this paper, basing on a new family of masks, namely primal-dual-pseudo spline(PDPS), we present basics of PDPSs which include the regularity, asymptotical analysis and approximation order.

Key words: primal-dual-pseudo spline, Riesz wavelet, regularity

中图分类号:

O174.41

袁德辉, 冯岩, 沈延峰, 杨守志. 原-对偶伪样条及其性质[J]. 数学季刊, 2013, 28(3): 376-382.

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