Results 11 to 20 of about 2,187 (216)
Constructive Tensor Field Theory [PDF]
We provide an up-to-date review of the recent constructive program for field theories of the vector, matrix and tensor type, focusing not on the models themselves but on the mathematical tools used.Comment: arXiv admin note: text overlap with arXiv:1401 ...
Rivasseau, Vincent
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Characterization of Absolute Summability Factors
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Sarıgöl, Mehmet Ali, Bor, Hüseyin
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A note on absolute summability factors
In this paper, a generalization of a theorem of Mishra and Srivastava [4] on |C,1|k summability factors has been proved.
Hüseyın Bor
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Summability factors between the absolute Cesàro methods
If Σε_{n}x_{n} is summable by the method Y whenever Σx_{n} is summable by the method X, then we say that the factor ε=(ε_{n}) is of type (X,Y) and denote by (X,Y).
G. Canan Hazar Güleç
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Sparse Deterministic Approximation of Bayesian Inverse Problems [PDF]
We present a parametric deterministic formulation of Bayesian inverse problems with input parameter from infinite dimensional, separable Banach spaces. In this formulation, the forward problems are parametric, deterministic elliptic partial differential ...
A M Stuart +12 more
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On Absolute Riesz Summability Factors
\textit{H. Bor} and \textit{H. Seyhan} [Indian J. Pure Appl. Math. 30, No. 10, 1041-1046 (1999; Zbl 0942.40001)] proved a theorem on \(|\overline N,p_n, \delta|_k\), \(k\geq 1\) and \(0\leq ...
Ozarslan, Hikmet, Bor, Hüseyin
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A note on absolute summability factors
In this paper, by using an almost increasing and $\delta$-quasi-monotone sequence, a general theorem on $\phi-{\mid{C},\alpha\mid}_k$ summability factors, which generalizes a result of Bor \cite{3} on ${\phi-\mid{C},1\mid}_k$ summability factors, has ...
Ozarslan, H. S.
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Approximation of high-dimensional parametric PDEs [PDF]
Parametrized families of PDEs arise in various contexts such as inverse problems, control and optimization, risk assessment, and uncertainty quantification. In most of these applications, the number of parameters is large or perhaps even infinite.
Cohen, Albert, Devore, Ronald
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On Absolute Summability Factors
\textit{T. M. Flett} [Proc.~Lond. Math.~Soc., III. Ser. 7, 113--141 (1957; Zbl 0109.04402)] has defined absolute summability of order \(k\) in the following manner:\ Let \(\{s_n\}\) be the sequence of partial sums of the infinite series \(\sum a_n\), and let \(\sigma_n^\alpha\) denote the \(n\)th Cesàro mean, of order \(\alpha>-1\), of \(\{s_n ...
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The Method of almost convergence with operator of the form fractional order and applications
The purpose of this paper is twofold. First, basic concepts such as Gamma function, almost convergence, fractional order difference operator and sequence spaces are given as a survey character.
Kadak, Ugur, Kirisci, Murat
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