On the norms of circulant and r-circulant matrices with the hyperharmonic Fibonacci numbers

被引：16

作者：

Tuglu, Naim ^{[1
]}

Kizilates, Can ^{[2
]}

机构：

[1] Gazi Univ, Dept Math, TR-06500 Ankara, Turkey

[2] Bulent Ecevit Univ, Dept Math, TR-67100 Zonguldak, Turkey

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

hyperharmonic Fibonacci number; r-Circulant matrix; matrix norm; LUCAS-NUMBERS;

D O I：

10.1186/s13660-015-0778-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study norms of circulant and r-circulant matrices involving harmonic Fibonacci and hyperharmonic Fibonacci numbers. We obtain inequalities by using matrix norms.

引用

页数：11

共 50 条

[1] On the norms of circulant and r-circulant matrices with the hyperharmonic Fibonacci numbers
Naim Tuglu
Can Kızılateş
[J]. Journal of Inequalities and Applications, 2015
[2] ON THE NORMS OF r-CIRCULANT MATRICES WITH THE HYPERHARMONIC NUMBERS
Bahsi, Mustafa
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (02): : 445 - 458
[3] On the bounds for the norms of r-circulant matrices with the Fibonacci and Lucas numbers
Shen, Shouqiang
Cen, Jianmiao
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (10) : 2891 - 2897
[4] On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers
Kome, Cahit
Yazlik, Yasin
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[5] On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers
Cahit Köme
Yasin Yazlik
[J]. Journal of Inequalities and Applications, 2017
[6] ON THE NORMS OF r-CIRCULANT MATRICES WITH THE HYPER-FIBONACCI AND LUCAS NUMBERS
Bahsi, Mustafa
Solak, Suleyman
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (04): : 693 - 705
[7] On the Determinants and Inverses of R-circulant Matrices with the Biperiodic Fibonacci and Lucas Numbers
Kome, Cahit
Yazlik, Yasin
[J]. FILOMAT, 2018, 32 (10) : 3637 - 3650
[8] Correction to: On the spectral norms of r-circulant matrices with the bi-periodic Fibonacci and Lucas numbers
Cahit Köme
Yasin Yazlik
[J]. Journal of Inequalities and Applications, 2018
[9] On r-circulant matrices with generalized bi-periodic Fibonacci numbers
Mehmet Daǧlı
Elif Tan
Oktay Ölmez
[J]. Journal of Applied Mathematics and Computing, 2022, 68 : 2003 - 2014
[10] On r-Circulant Matrices with Fibonacci and Lucas Numbers Having Arithmetic Indices
Bueno, Aldous Cesar F.
[J]. 13TH IMT-GT INTERNATIONAL CONFERENCE ON MATHEMATICS, STATISTICS AND THEIR APPLICATIONS (ICMSA2017), 2017, 1905

← 1 2 3 4 5 →