RETRACTED: On eigenstructure of q-Bernstein operators (Retracted Article)

被引：0
|
作者：
Naaz, Ambreen [1 ]
Mursaleen, M. [1 ,2 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[2] China Med Univ Taiwan, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2021年 / 11卷 / 01期
关键词：
Bernstein operator; Upper-triangular matrix; Eigenvalues; Total positivity; q-Calculus; POLYNOMIALS;
D O I：
10.1007/s13324-020-00443-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The quantum analogue of Bernstein operators B-m,B-q reproduce the linear polynomials which are therefore eigenfunctions corresponding to the eigenvalue 1, for all q > 0. In this article the rest of eigenstructure of q-Bernstein operators and the distinct behaviour of zeros of eigenfunctions for cases (i) 1 > q > 0, and (ii) q > 1 are discussed. Graphical analysis for some eigenfunctions and their roots are presented with the help ofMATLAB. Also, matrix representation for diagonalisation of q-Bernstein operators is discussed.
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页数：14
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