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dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source
Summability in topological spaces
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huseyin Çakalli
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Mathematical and Computer Modelling, 2009 If \(x=(x_k)\) is a number sequence and \(A=(a_{nk})_{n,k=1}^{\infty}\) is an infinite matrix, then \(Ax\) is the sequence whose \(n\)th term is given by \(A_n(x) = \sum_{k=1}^{\infty}a_{n,k}x_k\). Thus we say that \(x\) is \(A\)-summable to \(L\) if \(\lim_n A_n(x)=L\).
M Mursaleen
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Arithmetical summability [PDF]
Journal of Mathematical Analysis and Applications, 2012 The notation ∑k∣nf(k) means the finite sum of all numbers f(k) as k ranges over the integers that divide n including 1 and n. The purpose of this paper is to define a theory of summability suggested by this type of sum and an associated theory of ...
William H Ruckle
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A summability factor theorem for a generalized absolute Cesàro summability
Mathematical and Computer Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dansheng Yu
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Canadian Mathematical Bulletin, 1980
In a paper by Wilansky and the writer [4] there were five questions left open, four of which have been answered by Beekman and the writer, [1], [3]. We shall consider the fifth one, namely, “If , must for every matrix D with cD = cA?” Here A is a conservative summability matrix with column limits .
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In a paper by Wilansky and the writer [4] there were five questions left open, four of which have been answered by Beekman and the writer, [1], [3]. We shall consider the fifth one, namely, “If , must for every matrix D with cD = cA?” Here A is a conservative summability matrix with column limits .
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On Linear Functionals and Summability Factors for Strong Summability II
Canadian Journal of Mathematics, 1978The first part of this paper, which will be referred to by I, appeared in Volume 30 of this journal. The present paper will use the same bibliography as I.Theorem 1 in I shows that the knowledge of all continuous linear functionals in o[A]p is essential in determining convergence and summability factors for strong summability.
Balser, W. +2 more
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On Riesz summability factors of Fourier series [PDF]
Transactions of A Razmadze Mathematical Institute, 2017 WOS: 000415323800007In this paper, a main theorem dealing with |(N) over bar, p(n)|(k) summability method has been generalized for (SIC) -|(N) over bar, p(n); delta|(k) summability by using different and general summability factors of Fourier series.
Sebnem Yıldız
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The American Mathematical Monthly, 2000
In this note we prove a theorem related to the Steinhaus Theorem on matrix summability methods [2]. Recall that a matrix summability method is a sequenceto-sequence mapping of the form {xj} '> {sn = an, kXk}, n E N, and it is called regular if convergent sequences are mapped to convergent sequences with the same limit.
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In this note we prove a theorem related to the Steinhaus Theorem on matrix summability methods [2]. Recall that a matrix summability method is a sequenceto-sequence mapping of the form {xj} '> {sn = an, kXk}, n E N, and it is called regular if convergent sequences are mapped to convergent sequences with the same limit.
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Strong summability of orthogonal expansions of summable functions. I
Ukrainian Mathematical Journal, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stepanets, A. I., Lasuriya, R. A.
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