Results 141 to 150 of about 4,159,680 (186)

Tauberian Constants for Some Double Hausdorff Matrices

Sarajevo Journal of Mathematics, 2017
Mirza and Thorpe [9], obtained the Tauberian constant for $C(1, 1)$ summability for sequences satisfying the boundedness condition $(m^2 + n^2)a_{mn} = O(1)$. In this paper we investigate the analogous questions for double Hausdorff matrices.
B. Rhoades, B. Thorpe
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Tauberian conditions for w-almost convergent double sequences

Positivity, 2009
This paper discusses bivariate analogues of the author's paper [Positivity 13, No. 4, 611--619 (2009; Zbl 1186.40007)]. Let \((X,\|.\|)\) denote a Banach space and let \(\Im =\{ f_{n,m},n,m\geq 0\} \) denote a double sequence in \(X\). The de la Vallée-Poussin mean and the Cesàro mean are defined as \( V_{m,n}^{M,N}(\Im )=\frac{1}{NM}\sum_{j=m}^{m+M-1}\
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Interconnections of some conditions of Tauberian type

Moscow University Mathematics Bulletin, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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One-sided Tauberian conditions and double sequences

Periodica Mathematica Hungarica, 2002
The linear transformation \[ \tau(x,y):= \sum^\infty_{k,\ell=0} c_{k\ell} (x,y) s_{k\ell} \] is considered for double sequences \(S=(s_{k\ell})\), where \(c_{k\ell} (x,y) \geq 0\) with \(k,\ell\in N_0\); \(x,y\in X\); and \(X\) is either \(N_0\) or \([0, \infty)\). A double sequence \(S\) is said to be \(C\)-summable to \(s\) if \[ \tau(x,y) \to s\quad
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Some Tauberian conditions for statistical convergence

2019
WOS ...
Totur Ü., Çanak I.
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Tauberian conditions on some slowly decreasing sequences

Periodica Mathematica Hungarica, 2018
We present some Tauberian conditions to recover Cesaro summability of a sequence out of the product methods of Abel and Cesaro summability of the sequence. Moreover, we generalize some classical Tauberian theorems, such as the Hardy–Littlewood theorem, the generalized Littlewood theorem for Abel summability method.
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Statistical Deferred Cesàro Summability and Its Applications to Tauberian Theory

Bulletin of the Iranian Mathematical Society, 2023
Sefa Anil Sezer, Z. Önder, Ibrahim Çanak   +2 more
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Tauberian theorems for the statistical Cesàro summability method in intuitionistic fuzzy normed spaces

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2023
Z. Önder, Sinem Karakahya, Ibrahim Çanak   +2 more
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Tauberian conditions connecting Cesaro and Riesz discrete means methods

Moscow University Mathematics Bulletin, 2012
Let \(\left\{ a_{n},n\geq 0\right\} \) denote a sequence of real numbers. The series \(\sum a_{n}\) is summable to the real number \(S\) by the Cesàro method \( (C,\alpha )\) of order \(\alpha \) if \(A(n,\alpha )/E(n,\alpha )\rightarrow S\), where \(E(n,\alpha )=\binom{n+\alpha }{\alpha }\) and \(A(n,\alpha )=\sum_{m=0}^{n}E(n-m,\alpha )a_{m}\).
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Tauberian type gap conditions for Cesàro summation methods

Mathematical Notes, 1999
Let \(P\) and \(Q\) be summation methods for numerical series. A condition \(R\) on a sequence \(\{a_n\}\) is called a \(T_Q(P)\)-condition if any \(P\)-summable series \(\sum a_n\) such that \(\{a_n\}\) satisfies \(R\) is \(Q\)-summable. A sequence \(\{a_n\}\) belongs to \((G,k)\) if there exist a natural number \(C\), a real number \(q>1\), and a ...
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