Eigenstructure of the genuine Beta operators of Lupas and Muhlbach

被引:0
|
作者
Gonska, Heiner [1 ]
Heilmann, Margareta [2 ]
Rasa, Ioan [3 ]
机构
[1] Univ Duisburg Essen, Fac Math, Duisburg, Germany
[2] Univ Wuppertal, Sch Math & Nat Sci, Wuppertal, Germany
[3] Tech Univ, Dept Math, Cluj Napoca, Romania
来源
关键词
Genuine Beta operator; eigenstructure;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The eigenstructure of genuine Beta operators is described, a limiting case of Beta-Jacobi operators. Its similarity to that of the classical Bernstein operators is emphasized. The significance of the mappings considered here comes, among others, from their role as a building block in genuine Bernstein-Durrmeyer operators.
引用
收藏
页码:383 / 388
页数:6
相关论文
共 50 条
  • [21] Approximation for Difference of Lupas and Some Classical Operators
    Soybas, Danyal
    Malik, Neha
    FILOMAT, 2020, 34 (10) : 3311 - 3318
  • [22] Certain Properties of Lupas-Kantorovich Operators
    Gupta, Vijay
    FILOMAT, 2021, 35 (15) : 5227 - 5236
  • [23] MODIFIED LUPAS,-KANTOROVICH OPERATORS WITH POLYA DISTRIBUTION
    Agrawal, Gunjan
    Gupta, Vijay
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (06) : 1909 - 1919
  • [24] Direct Estimates for Lupas-Durrmeyer Operators
    Aral, Ali
    Gupta, Vijay
    FILOMAT, 2016, 30 (01) : 191 - 199
  • [25] On the eigenstructure of the q-Durrmeyer operators
    Gurel Yilmaz, Ovgu
    TURKISH JOURNAL OF MATHEMATICS, 2023, 47 (06) : 1643 - 1658
  • [26] On the Image of the Lupas q-Analogue of the Bernstein Operators
    Gurel Yilmaz, Ovgu
    Ostrovska, Sofiya
    Turan, Mehmet
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2024, 47 (01)
  • [27] A new construction of Lupas operators and its approximation properties
    Qasim, Mohd
    Khan, Asif
    Abbas, Zaheer
    Cai, Qing-Bo
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [28] On the Rates of Convergence of the q-Lupas-Stancu Operators
    Dogru, Ogun
    Icoz, Gurhan
    Kanat, Kadir
    FILOMAT, 2016, 30 (05) : 1151 - 1160
  • [29] Convergence properties of generalized Lupas-Kantorovich operators
    Qasim, M.
    Khan, A.
    Abbas, Z.
    Mursaleen, M.
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2021, 13 (03) : 818 - 830
  • [30] LUPAS-DURRMEYER OPERATORS BASED ON POLYA DISTRIBUTION
    Gupta, Vijay
    Rassias, Themistocles M.
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2014, 8 (02): : 146 - 155