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On absolute matrix summability methods

open access: yesJournal of Classical Analysis
Ayşe Göğüş, Sİbel Yasemİn Gölbol
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On inclusion theorems for absolute matrix summability methods, corrections

open access: yesJournal of Mathematical Analysis and Applications, 2003
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Necessary conditions for absolute matrix summability methods [PDF]

open access: yesBollettino dell'Unione Matematica Italiana, 2015
The authors obtain necessary conditions in order that a series \(\sum a_{n}\) should be summable \(|B,q_{n}|_{k}\) whenever \(\sum a_{n}\) is summable \( |A,p_{n}|_{k}\) as a generalization of the result of \textit{H. Bor} and \textit{B. Thorpe} [Analysis 12, No. 1--2, 1--3 (1992; Zbl 0753.40007)].
Ozgen, H. N., ÖZARSLAN, HİKMET
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Some of the next articles are maybe not open access.

Submethods Of Regular Matrix Summability Methods

Canadian Journal of Mathematics, 1956
By a submethod of a regular matrix method A we mean a method (see 1 or 3) whose matrix is obtained by deleting a set of rows from the matrix A. We establish a one-one correspondence between the submethods of A and the points of the interval 0 < ξ ≤We designate the submethod which corresponds to 𝞷 by A (𝞷) and are accordingly able to speak of sets of
Goffman, Casper, Petersen, G. M.
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Equivalence Theorem for Absolute Matrix Summability Methods

Mathematical Notes, 2023
Suppose that $\sum_{n=0}^{\infty}a_n$ is an infinite series with partial sums $(s_n)$, and $(p_n)$ is a sequence of positive numbers such that $P_n=\sum_{k=0}^{n}p_k\rightarrow\infty$ as $n\rightarrow\infty$, and for all negative subscripts $P_{-n}$, $p_{-n}$ ($n\ge1$) are assumed to be~$0$.
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Summability Methods on Matrix Spaces

Canadian Journal of Mathematics, 1961
The matrix spaces under consideration are the four main types of irreducible bounded symmetric domains given by Cartan (5). Let z = (zjk) be a matrix of complex numbers, z' its transpose, z* its conjugate transpose and I = I(n) the identity matrix of order n.
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