共查询到20条相似文献,搜索用时 15 毫秒
1.
Ekrem Savaş 《Mathematical and Computer Modelling》2009,49(5-6):1127-1136
2.
We obtain necessary conditions for a doubly triangular matrix A to have the property that a double series ΣΣ λ
mn
b
mn
is summable |A|
k
whenever the series ΣΣb
mn
is bounded |A|
k
. 相似文献
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In this paper, a general theorem on |A,δ|k-summability factors which generalize a theorem of Sava? [E. Sava?, On a recent result on absolute summability factors, Appl. Math. Lett. 18 (2005) 1273–1280] on |A|k-summability factors has been proved. 相似文献
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It is shown that the generalized inverses characterize the parallel sum. The almost positive definite (a.p.d.) matrices introduced by Duffin and Morley [2] are of two types, whose intersection is the class of quasi-positive-definite matrices (Mitra and Puri [7]). The a.p.d. matrices of any one type form a “saturated” subclass of pairwise parallel summable a.p.d. matrices. 相似文献
7.
K. M. Slepenchuk 《Journal of Mathematical Sciences》1990,48(5):589-593
Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 46, pp. 112–117, 1986. 相似文献
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Tamotsu Tsuchikura 《Analysis Mathematica》1986,12(1):77-84
{n} a
n
n
, s
n
n- ,
n
-n- (, 1)- . . . -, . , «|s2n+1–s
2
n¦< . .» «¦
n
–
n–1¦< . .» .
s. , {a
n
} 0, a
n/n<, {a
n
} , {it|n¦<. , , -. 相似文献
11.
Hüseyin Bor 《Proceedings Mathematical Sciences》1994,104(2):367-372
In this paper using δ-quasi-monotone sequences a theorem on
summability factors of infinite series, which generalizes a theorem of Bor [4] on
summability factors of infinite series, is proved. Also, in the special case this theorem includes a result of Mazhar [8]
on |C, 1|k summability factors. 相似文献
12.
In this paper, we establish a summability factor theorem for summability |A|k where A is a lower triangular matrix with non-negative entries satisfying certain conditions. 相似文献
13.
Hüseyin Bor 《Applied mathematics and computation》2011,217(22):8923-8926
In this paper, a known result on ∣C, α; δ∣k summability factors has been generalized for ∣C, α, γ; δ∣k summability factors. Some new results have also been obtained. 相似文献
14.
G. G. Lorentz 《Archiv der Mathematik》1954,5(4-6):469-475
Ohne ZusammenfassungHerrn A.Ostrowski zum 60. Geburtstag gewidmetThis work has been completed while the author held a Fellowship at the Summer Research Institute of 1952 of the Canadian Mathematical Congress. 相似文献
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《Applied Mathematics Letters》2005,18(11):1273-1280
In this paper, a general theorem of summability factors is presented. This generalization is accomplished by replacing the weighted mean matrix in Mazhar’s theorem in [S.M. Mazhar, A remark on a recent result on absolute summability factors, Indian J. Math. 40 (2) (1998) 123–131] with a triangular matrix. 相似文献
19.
Ants Aasma 《Applied Mathematics Letters》2012,25(3):404-407
In this work the inclusion relations between absolute summability domains of a normal matrix A and certain factorable matrices are described. Thus, some classes of factorable matrices transforming the absolute summability domain of A into a set of convergent or absolutely convergent series are characterized. As an application, the special case where A is the Cesàro matrix is considered. 相似文献
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