ON THE NORMS OF r-CIRCULANT MATRICES WITH THE HYPERHARMONIC NUMBERS

被引:12
作者
Bahsi, Mustafa [1 ]
机构
[1] Aksaray Univ, Fac Educ, Aksaray, Turkey
来源
JOURNAL OF MATHEMATICAL INEQUALITIES | 2016年 / 10卷 / 02期
关键词
Circulant matrix; r-circulant matrix; hyper-harmonic; Euclidean norm; spectral; norm; K-HORADAM NUMBERS; LUCAS-NUMBERS; FIBONACCI; IDENTITIES; SUMS;
D O I
10.7153/jmi-10-35
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 matrices H = Circ(H-0((k)), H-1((k)), ..., H-n-1((k))), H = Circ(H-k((0)), H-k((1)), ..., H-k((n-1))) and r-circulant matrices H-r = Circ(H-0((k)), H-1((k)), ..., H-n-1((k))), H = Circ(H-k((0)), H-k((1)), ..., H-k((n-1))), where H-n((k)) denotes the nth hyperharmonic number of order r.
引用
收藏
页码:445 / 458
页数:14
相关论文
共 24 条
[1]   On Stirling numbers and Euler sums [J].
Adamchik, V .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 79 (01) :119-130
[2]  
Bahsi M., 2010, Int. J. Contemp. Math. Sciences, V5, P1213
[3]   ON THE NORMS OF r-CIRCULANT MATRICES WITH THE HYPER-FIBONACCI AND LUCAS NUMBERS [J].
Bahsi, Mustafa ;
Solak, Suleyman .
JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (04) :693-705
[4]  
Bahsi M, 2013, HACET J MATH STAT, V42, P387
[5]  
Benjamin A.T., 2003, ELECT J COMBIN NUMBE, V3, pA15
[6]   Generalized harmonic number identities and a related matrix representation [J].
Cheon, Gi-Sang ;
El-Mikkawy, Moawwad E. A. .
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (02) :487-498
[7]   Generalized harmonic numbers with Riordan arrays [J].
Cheon, Gi-Sang ;
El-Mikkawy, M. E. A. .
JOURNAL OF NUMBER THEORY, 2008, 128 (02) :413-425
[8]   Hypergeometric series and harmonic number identities [J].
Chu, WC ;
De Donno, L .
ADVANCES IN APPLIED MATHEMATICS, 2005, 34 (01) :123-137
[9]  
Conway J. H., 1996, The Book of Numbers
[10]  
Davis PJ., 1979, CIRCULANT MATRICES