Results 121 to 130 of about 3,795 (162)

Hardy-Type Tauberian Conditions on Time Scales

Mediterranean Journal of Mathematics, 2018
The authors obtain analogues of classical-type Tauberian conditions due to \textit{G. H. Hardy} [Proc. Lond. Math. Soc. (2) 8, 301--320 (1910; JFM 41.0278.02)] and \textit{R. Schmidt} [Math. Z. 22, 89--152 (1925; JFM 51.0182.04)] for the Cesàro summability of functions on time scales.
Yalçın, Ceylan Turan, Duman, Oktay
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Tauberian conditions for the $$(C, \alpha )$$ ( C , α ) integrability of functions

Positivity, 2016
Let \(f(x)\) be a real-valued continuous function on \([0,\infty)\) and \(\displaystyle s(x)=\int_0^x f(u)du\). We set \[ \sigma_\alpha^x=\int_0^x\left(1-{u\over x}\right)^\alpha f(u)du, \] where \(\alpha>-1\). An improper integral \[ \int_0^\infty f(x)dx \] is said to be \((C, \alpha)\) integrable to \(L\) for some \(\alpha>-1\) if \[ \lim_{x\to\infty}
Ümit Totur, İbrahim Çanak
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Tauberian conditions for almost convergence

Positivity, 2008
Let \((X,\|.\|)\) denote a Banach space and let \(\Im =t\{ f_{i},i\geq 0\} \) denote a sequence in \(X\). The de la Vallée-Poussin mean and the Cesàro mean are defined as \(V_{n,N}(\Im )=\frac{1 }{N}\sum_{k=n}^{n+N-1}f_{k}\) and \(\sigma _{n}(\Im )=V_{0,n+1}(\Im )\). The authors consider the following limit statements. In each case \(f\in X\).
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On Tauberian Conditions for the Logarithmic Methods of Integrability

Bulletin of the Malaysian Mathematical Sciences Society, 2016
The authors obtain some new Tauberian conditions for the logarithmic integrability method. Furthermore, they introduce the logarithmic method of integrability of order two and then give Abel and Tauberian theorems for this method.
Totur, Ümit, Okur, Muhammet Ali
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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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A General Tauberian Condition that Implies Euler Summability

Canadian Mathematical Bulletin, 1994
AbstractLet V be any summability method (whether linear or conservative or not), 0 < p < 1 and s a real or complex sequence. Let Ep denote the matrix of the Euler method. A theorem is proved, giving a condition under which the V-summability of Eps will imply the Ep-summability of s. This extends, in generalized form, an earlier result of N.
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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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