Results 11 to 20 of about 887,414 (331)
A Study of Approximation Properties in Felbin-Fuzzy Normed Spaces
Mathematics, 2020 In this paper, approximation properties in Felbin-fuzzy normed spaces are studied. These approximation properties have been recently introduced in Felbin-fuzzy normed spaces. We make topological tools to analyze such approximation properties.
Ju Myung Kim, Keun Young Lee
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SAC Property and Approximate Semicontinuity [PDF]
Real Analysis Exchange, 2000 For a bounded measurable function \(f:{\mathcal R} \to {\mathcal R}\) and for real \(r > 0\) let \[ p_r(x) = \sup \left\{ s\in (0,1]:\biggl|\frac{1}{h}\int_x^{x+h}f(t) dt- f(x)\biggr|< r\;\text{for }0 < |h|< s\right\} . \] If in the above formula we write \(\leq r\) then we define \(q_r(x)\).
Prus-Wiśniowski, Franciszek +1 more
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The strong approximation property and the weak bounded approximation property [PDF]
Journal of Functional Analysis, 2014 Abstract We show that the strong approximation property (strong AP) (respectively, strong CAP) and the weak bounded approximation property (respectively, weak BCAP) are equivalent for every Banach space. This gives a negative answer to Oja's conjecture. As a consequence, we show that each of the spaces c 0 and l 1 has a subspace
Ju Myung Kim, Bentuo Zheng
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The Kp,q-Compactness and Kp,q-Null Sequences, and the
Mathematics, 2022 Let Kp,q (1≤p,q≤∞ with 1/p+1/q≥1) be the ideal of (p,q)-compact operators. This paper investigates the compactness and null sequences via Kp,q, and an approximation property of the ideal of Kp,q-compact operators.
Ju Myung Kim
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Frontiers in Neuroscience, 2020 Biological brain stores massive amount of information. Inspired by features of the biological memory, we propose an algorithm to efficiently store different classes of spatio-temporal information in a Recurrent Neural Network (RNN).
Parami Wijesinghe +2 more
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Link Travel Time Estimation in Double-Queue-Based Traffic Models
Promet (Zagreb), 2021 Double queue concept has gained its popularity in dynamic user equilibrium (DUE) modeling because it can properly model real traffic dynamics. While directly solving such double-queue-based DUE problems is extremely challenging, an approximation scheme ...
Xia Yang +3 more
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The Universal Approximation Property [PDF]
Annals of Mathematics and Artificial Intelligence, 2021 AbstractThe universal approximation property of various machine learning models is currently only understood on a case-by-case basis, limiting the rapid development of new theoretically justified neural network architectures and blurring our understanding of our current models’ potential.
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Simple Lie groups without the Approximation Property [PDF]
, 2013 For a locally compact group G, let A(G) denote its Fourier algebra, and let M_0A(G) denote the space of completely bounded Fourier multipliers on G.
De Laat, Tim, Uffe Haagerup
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Approximation properties of tensor norms and operator ideals for Banach spaces
Open Mathematics, 2020 For a finitely generated tensor norm α\alpha , we investigate the α\alpha -approximation property (α\alpha -AP) and the bounded α\alpha -approximation property (bounded α\alpha -AP) in terms of some approximation properties of operator ideals.
Kim Ju Myung
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On some properties of approximations
Topology and its Applications, 2011 AbstractLet f:X→Y be continuous where X is a topological space and Y a metric space. Given a set E⊂Y, we ask whether f admits arbitrarily close continuous approximations whose values omit E (see Definition 2). It is shown that if X is paracompact, dimX⩽k, then each continuous mapping X→Rn, n>k, has an arbitrarily close approximation avoiding the ...
S.P. Ponomarev, S. Kowalczyk
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