Approximation properties of mixed sampling-Kantorovich operators

被引：4
|
作者：
Angeloni, Laura [1 ]
Costarelli, Danilo [1 ]
Vinti, Gianluca [1 ]
机构：
[1] Univ Perugia, Dept Math & Comp Sci, Via Vanvitelli 1, I-06123 Perugia, Italy
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 115卷 / 01期
关键词：
Sampling-Kantorovich operators; Pointwise convergence; Uniform convergence; Order of approximation; Asymptotic expansions; Voronovskaja formulae; CONVERGENCE; RESPECT; SERIES; ORDER;
D O I：
10.1007/s13398-020-00936-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper we study the pointwise and uniform convergence properties of a family of multidimensional sampling Kantorovich type operators. Moreover, besides convergence, quantitative estimates and a Voronovskaja type theorem have been established.
引用
收藏
页数：14
相关论文
共 50 条
  • [1] Approximation properties of mixed sampling-Kantorovich operators
    Laura Angeloni
    Danilo Costarelli
    Gianluca Vinti
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021, 115
  • [2] Multidimensional sampling-Kantorovich operators in BV-spaces
    Angeloni, Laura
    Vinti, Gianluca
    OPEN MATHEMATICS, 2023, 21 (01):
  • [3] ORDER OF APPROXIMATION FOR SAMPLING KANTOROVICH OPERATORS
    Costarelli, Danilo
    Vinti, Gianluca
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2014, 26 (03) : 345 - 368
  • [4] On Approximation by Kantorovich Exponential Sampling Operators
    Bajpeyi, Shivam
    Kumar, A. Sathish
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021, 42 (09) : 1096 - 1113
  • [5] On approximation properties of generalized Kantorovich-type sampling operators
    Orlova, Olga
    Tamberg, Gert
    JOURNAL OF APPROXIMATION THEORY, 2016, 201 : 73 - 86
  • [6] On Approximation Properties of Generalized Kantorovich-type Sampling Operators
    Orlova, Olga
    Tamberg, Gert
    2015 INTERNATIONAL CONFERENCE ON SAMPLING THEORY AND APPLICATIONS (SAMPTA), 2015, : 53 - 57
  • [7] Approximation properties of λ-Kantorovich operators
    Ana-Maria Acu
    Nesibe Manav
    Daniel Florin Sofonea
    Journal of Inequalities and Applications, 2018
  • [8] Approximation properties of λ-Kantorovich operators
    Acu, Ana-Maria
    Manav, Nesibe
    Sofonea, Daniel Florin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [9] On some norms and approximation properties of Kantorovich-type sampling operators
    Graf, Olga
    Tamberg, Gert
    2019 13TH INTERNATIONAL CONFERENCE ON SAMPLING THEORY AND APPLICATIONS (SAMPTA), 2019,
  • [10] Modified Kantorovich operators with better approximation properties
    Gupta, Vijay
    Tachev, Gancho
    Acu, Ana-Maria
    NUMERICAL ALGORITHMS, 2019, 81 (01) : 125 - 149
12345