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Necessary conditions for absolute matrix summability methods
Bollettino 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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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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Journal of Mathematical Analysis and Applications, 2018 This work is concerned with various weighted four dimensional matrix summability methods in modular function spaces associating with generalized difference operator involving (p, q)-gamma function.
Uğur Kadak
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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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Strong summability of double series by matrix methods and Tauberian theorems for these methods
Mathematical Notes of the Academy of Sciences of the USSR, 1975Conditions are established under which matrix transformations of double series and sequences preserve strong convergence. In addition, a general Tauberian theorem is established and applied to the method of Borel.
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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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