Negative property of shape-preserving finite-dimensional linear operators

被引:3
|
作者
Sidorov, SP [1 ]
机构
[1] Saratov NG Chernyshevskii State Univ, Dept Mech & Math, Saratov 410071, Russia
关键词
Korovkin type results; shape-preserving property; order of approximation;
D O I
10.1016/S0893-9659(03)80040-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we estimate the order of approximation by derivatives of shape-preserving and finite-dimensional operators defined on the space of all real-valued and k-times continuously differentiable functions of one real variable. (C) 2003 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:257 / 261
页数:5
相关论文
共 50 条
  • [1] Linear operators with finite-dimensional kernels
    Terent'ev, A. G.
    IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA, 2012, (01): : 134 - 135
  • [2] On the shape-preserving properties of λ-Bernstein operators
    Lian-Ta Su
    Gökhan Mutlu
    Bayram Çekim
    Journal of Inequalities and Applications, 2022
  • [3] On the shape-preserving properties of λ-Bernstein operators
    Su, Lian-Ta
    Mutlu, Gokhan
    Cekim, Bayram
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [4] Perceptually motivated shape evolution with shape-preserving property
    Lewin, Sergej
    Jiang, Xiaoyi
    Clausing, Achim
    PATTERN RECOGNITION LETTERS, 2010, 31 (06) : 447 - 453
  • [6] The existence of shape-preserving operators with a given action
    Chalmers, BL
    Prophet, MP
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1998, 28 (03) : 813 - 834
  • [7] Perceptually Motivated Shape Evolution with Shape-Preserving Property
    Lewin, Sergej
    Jiang, Xiaoyi
    Clausing, Achim
    PROGRESS IN PATTERN RECOGNITION, IMAGE ANALYSIS AND APPLICATIONS, PROCEEDINGS, 2008, 5197 : 667 - 674
  • [8] The Rate of Convergence for Linear Shape-Preserving Algorithms
    Boytsov, Dmitry
    Sidorov, Sergei
    CONCRETE OPERATORS, 2015, 2 (01): : 139 - 145
  • [9] Stability of the orthogonality preserving property in finite-dimensional inner product spaces
    Chmielinski, J
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 318 (02) : 433 - 443
  • [10] Simplicial cones and the existence of shape-preserving cyclic operators
    Chalmers, BL
    Prophet, MP
    Ribando, JM
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 375 (375) : 157 - 170