Results 211 to 220 of about 82,928,475 (246)
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ON SOME NEW INVARIANT MATRIX METHODS OF SUMMABILITY
Quarterly Journal of Mathematics, 1983Let \(\sigma\) be a mapping of the set of positive integers into itself. A continuous linear functional \(\phi\) on the space \(\ell^{\infty}\) of real bounded sequences is a \(\sigma\)-mean if \(\phi(x)\geq 0\) when the sequence \(x=(x_ n)\) has \(x_ n\geq 0\) for all n, \(\phi(e)=1\) where \(e:=(1,1,...)\), and \(\phi((x_{\sigma(n)}))=\phi(x)\) for ...
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A new study on generalised absolute matrix summability methods
, 2018 Maejo International Journal of Science and Technology, 12, 3 ...
ÖZARSLAN, Hikmet
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On the Absolute Matrix Summability Factors of Fourier Series [PDF]
Mathematical Notes, 2018 WOS: 000427616800030In this paper, two known theorems on |NI", p (n) | (k) summability methods of Fourier series have been generalized for |A, p (n) | (k) summability factors of Fourier series by using different matrix transformations.
Ş. Yıldız, Yildiz, S.
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Submethods Of Regular Matrix Summability Methods
Canadian Journal of Mathematics, 1956By 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, 2023Suppose 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, 1961The 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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Matrix transformations of summability domains of generalized matrix methods in Banach spaces
Rendiconti del Circolo Matematico di Palermo, 2009The necessary and sufficient conditions for a matrix M to be a transform from the summability domain of generalized matrix method A into the summability domain of another generalized matrix method B are proved. The elements of Mare continuous linear operators from a Banach space X into another Banach space Y, and the elements of A and B are continuous ...
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A Theorem on General Matrix Summability Method
Asian Journal of Mathematics and Computer ResearchThis paper establishes a general summability factor theorem for the ϕ − |B; δ|k summability of an infinite series associated with a positive normal matrix B. The study considers the sequence of partial sums of an infinite series and the corresponding matrix transformation determined by B.
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Matrix summability methods on the approximation of multivariate \(q\)-MKZ operators
2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Duman, Oktay +2 more
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Four dimensional matrix characterization P-convergence fields of summability methods
Applied Mathematics and Computation, 2013In 1945 Agnew presented two dimensional matrix characterization of convergent fields. The goal of this paper is to present four dimensional matrix characterization of P-convergent field. This will be accomplished by the presentation of the following multiple dimensional analogues of Agnew's theorem.
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