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Characterizations of Pointwise Pseudometrics via Pointwise Closed-Ball Systems
IEEE Transactions on Fuzzy Systems, 2022Chong Shen, Yi Shi, Fu-Gui Shi
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Pointwise Topological Stability
Proceedings of the Edinburgh Mathematical Society, 2018AbstractWe decompose the topological stability (in the sense of P. Walters) into the corresponding notion for points. Indeed, we define a topologically stable point of a homeomorphism f as a point x such that for any C0-perturbation g of f there is a continuous semiconjugation defined on the g-orbit closure of x which tends to the identity as g tends ...
Koo, Namjip +2 more
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Coconvex Pointwise Approximation
Ukrainian Mathematical Journal, 2002The main result of the paper lies in the following statement giving an estimate for the pointwise coconvex approximation. If \(Y\in {\mathcal Y}_s\) and \(f\in \Delta^{(2)}(Y)\), then for every \(n\geq N(Y)\) there exists a polynomial \(P_n\in {\mathcal P}_n\) such that \(P_n\in \Delta^{(2)}(Y)\) and \[ |f(x)-P_n(x)|\leq c\omega_2(f,\delta_n(x)), \quad
Dzyubenko, G.A. +2 more
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SIAM Journal on Optimization, 1993
Pointwise quasi-Newton methods update the coefficients of differential and integral operators in function spaces. This paper gives a general theory of such methods and unifies it with the theory of Broyden's method in Hilbert space. In particular, a new superlinearly convergent method is introduced for elliptic boundary value problems.
Kelley, C. T., Sachs, E. W.
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Pointwise quasi-Newton methods update the coefficients of differential and integral operators in function spaces. This paper gives a general theory of such methods and unifies it with the theory of Broyden's method in Hilbert space. In particular, a new superlinearly convergent method is introduced for elliptic boundary value problems.
Kelley, C. T., Sachs, E. W.
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Canadian Mathematical Bulletin, 1973
In 1962, J. M. G. Fell [5] indicated the important role played by certain topological spaces which, though locally compact in a specialized sense, do not, in general, satisfy even the weakest separation axiom. He called them "locally compact". These were called "punktal kompakt" by Flachsmeyer [6] and to avoid confusion, we shall call them pointwise ...
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In 1962, J. M. G. Fell [5] indicated the important role played by certain topological spaces which, though locally compact in a specialized sense, do not, in general, satisfy even the weakest separation axiom. He called them "locally compact". These were called "punktal kompakt" by Flachsmeyer [6] and to avoid confusion, we shall call them pointwise ...
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Pointwise Debreu Lexicographic Powers
Order, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GIARLOTTA, Alfio, WATSON S.
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Piecewise Monotone Pointwise Approximation
Constructive Approximation, 1997The authors consider constrained polynomial approximation of differentiable functions on \([-1,1]\), which change their monotonicity finitely many times, say \(s\)-times, inside the interval. The polynomials are required to change monotonicity exactly where the function does, what we call comonotone approximation.
Dzyubenko, G. A. +2 more
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Copositive pointwise approximation
Ukrainian Mathematical Journal, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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