On the Metric Space of the Limit q-Bernstein Operators

被引：3

作者：

Ostrovska, Sofiya ^{[1
]}

Turan, Mehmet ^{[1
]}

机构：

[1] Atilim Univ, Dept Math, TR-06836 Ankara, Incek, Turkey

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2019年 / 40卷 / 02期

关键词：

Isometry; limit q-Bernstein operator; metric basis;

D O I：

10.1080/01630563.2018.1504793

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some properties of uniformly discrete metric space are established. The metric rho comes out naturally in the evaluation of the distance between two limit q-Bernstein operators with respect to the operator norm on The exact value of this distance is found for all Furthermore, a number of properties of metric bases in M are presented alongside all possible isometries on M.

引用

页码：134 / 146

页数：13

共 50 条

[1] The Limit q-Bernstein Operators with Varying q
Almesbahi, Manal Mastafa
Ostrovska, Sofiya
Turan, Mehmet
[J]. MATHEMATICAL METHODS IN ENGINEERING: THEORETICAL ASPECTS, 2019, 23 : 203 - 215
[2] Higher order limit q-Bernstein operators
Mahmudov, N. I.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (13) : 1618 - 1626
[3] THE DISTANCE BETWEEN TWO LIMIT q-BERNSTEIN OPERATORS
Ostrovska, Sofiya
Turan, Mehmet
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (03) : 1085 - 1096
[4] THE CONVERGENCE OF q-BERNSTEIN POLYNOMIALS (0 < q < 1) AND LIMIT q-BERNSTEIN OPERATORS IN COMPLEX DOMAINS
Ostrovska, Sofiya
Wang, Heping
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2009, 39 (04) : 1279 - 1291
[5] On the eigenfunctions of the q-Bernstein operators
Sofiya Ostrovska
Mehmet Turan
[J]. Annals of Functional Analysis, 2023, 14
[6] On the eigenfunctions of the q-Bernstein operators
Ostrovska, Sofiya
Turan, Mehmet
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2023, 14 (01)
[7] On the eigenvectors of the q-Bernstein operators
Ostrovska, S.
Turan, M.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (04) : 562 - 570
[8] Approximation by q-Bernstein type operators
Zoltán Finta
[J]. Czechoslovak Mathematical Journal, 2011, 61 : 329 - 336
[9] ON THE PROPERTIES OF THE LIMIT q-BERNSTEIN OPERATOR
Ostrovska, Sofiya
[J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2011, 48 (02) : 160 - 179
[10] Approximation by limit q-Bernstein operator
Finta, Zoltan
[J]. ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2013, 5 (01) : 39 - 46

← 1 2 3 4 5 →