On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation

被引：7
|
作者：
Amat, Sergio [1 ]
Donat, Rosa [2 ]
Carlos Trillo, J. [1 ]
机构：
[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Cartagena, Spain
[2] Univ Valencia, Dept Matemat Aplicada, E-46003 Valencia, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 358卷 / 01期
关键词：
Stability; Linear multiresolution; Piecewise Lagrange interpolation;
D O I：
10.1016/j.jmaa.2009.04.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Deslauriers-Dubuc symmetric interpolation process can be considered as an interpolatory prediction scheme within Harten's framework. In this paper we express the Deslauriers-Dubuc prediction operator as a combination of either second order or first order differences. Through a detailed analysis of certain contractivity properties, we arrive to specific l(infinity)-stability bounds for the multiresolution transform. A variety of tests indicate that these l(infinity) bounds are closer to numerical estimates than those obtained with other approaches. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：18 / 27
页数：10
相关论文
共 50 条
  • [21] A NUMERICAL SCHEME FOR THE GENERALIZED ABC FRACTIONAL DERIVATIVE BASED ON LAGRANGE INTERPOLATION POLYNOMIAL
    Khan, Aziz
    Abdeljawad, Thabet
    Khan, Hasib
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (05)
  • [22] A Group Key Management Scheme for WSN Based on Lagrange Interpolation Polynomial Characteristic
    Wang, Xiaogang
    Shi, Weiren
    Liu, Dan
    [J]. KSII TRANSACTIONS ON INTERNET AND INFORMATION SYSTEMS, 2019, 13 (07) : 3690 - 3713
  • [23] A WSN Layer-Cluster Key Management Scheme Based on Quadratic Polynomial and Lagrange Interpolation Polynomial
    Wang, Xiaogang
    Yang, Zhongfan
    Feng, Zhiqiang
    Zhao, Jun
    [J]. SENSORS, 2020, 20 (16) : 1 - 36
  • [24] Piecewise Polynomial Lyapunov Functions Based Stability Analysis for Polynomial Fuzzy Systems
    Chen, Ying-Jen
    Tanaka, Motoyasu
    Tanaka, Kazuo
    Wang, Hua O.
    [J]. 2013 IEEE INTERNATIONAL CONFERENCE ON CONTROL SYSTEM, COMPUTING AND ENGINEERING (ICCSCE 2013), 2013, : 34 - +
  • [25] Exploring polynomial based interpolation schemes for photoacoustic tomographic image reconstruction
    Paul, Avijit
    Warbal, Pankaj
    Mukherjee, Amrita
    Paul, Subhadip
    Saha, Ratan K.
    [J]. BIOMEDICAL PHYSICS & ENGINEERING EXPRESS, 2022, 8 (01)
  • [26] Novel Threshold Changeable Secret Sharing Schemes Based on Polynomial Interpolation
    Yuan, Lifeng
    Li, Mingchu
    Guo, Cheng
    Choo, Kim-Kwang Raymond
    Ren, Yizhi
    [J]. PLOS ONE, 2016, 11 (10):
  • [27] Applying Secure Access Based on Lagrange Interpolation Polynomial to Online Learning Sensor Platform
    Huang, Yao-Min
    Chung, Yu-Fang
    Chiang, Dai-Lun
    Chang, Ya-Hsin
    Chen, Tzer-Shyong
    Chen, Chih-Cheng
    [J]. SENSORS AND MATERIALS, 2022, 34 (04) : 1445 - 1469
  • [28] Grouped Secret Sharing Schemes Based on Lagrange Interpolation Polynomials and Chinese Remainder Theorem
    Miao, Fuyou
    Yu, Yue
    Meng, Keju
    Xiong, Yan
    Chang, Chin-Chen
    [J]. Security and Communication Networks, 2021, 2021
  • [29] Grouped Secret Sharing Schemes Based on Lagrange Interpolation Polynomials and Chinese Remainder Theorem
    Miao, Fuyou
    Yu, Yue
    Meng, Keju
    Xiong, Yan
    Chang, Chin-Chen
    [J]. SECURITY AND COMMUNICATION NETWORKS, 2021, 2021
  • [30] Discrete Algorithm for a Disk Morphological Filter Based on Piecewise Linear Interpolation
    Zakharov, O. V.
    Laptev, A. G.
    Lysenko, V. G.
    Milovanova, E. A.
    Tabachnikova, N. A.
    [J]. MEASUREMENT TECHNIQUES, 2022, 65 (08) : 577 - 583
12345