Results 11 to 20 of about 5,582,307 (290)
T-regular probabilistic convergence spaces [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1998 AbstractA probabilistic convergence structure assigns a probability that a given filter converges to a given element of the space. The role of the t-norm (triangle norm) in the study of regularity of probabilistic convergence spaces is investigated. Given a probabilistic convergence space, there exists a finest T-regular space which is coarser than the
Minkler, J., Minkler, G., Richardson, G.
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𝑇-regular-closed convergence spaces [PDF]
Proceedings of the American Mathematical Society, 1975 It is known that a convergence space which has a regular compactification is almost identical to a completely regular topological space. It is shown that a less restricitive class of convetgence spaces have T T
D. C. Kent +2 more
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A class of completely regular spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1984 In this paper we investigate topologies with ultrafilters having bases of open sets. It is shown that these topologies are completely regular. All results are obtained by using Richardson's compactification of convergence spaces.
Patrik E. Eklund
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Two convergence results for continuous descent methods [PDF]
Electronic Journal of Differential Equations, 2003 We consider continuous descent methods for the minimization of convex functionals defined on general Banach space. We establish two convergence results for methods which are generated by regular vector fields.
Simeon Reich, Alexander J. Zaslavski
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Convergence rates for oversmoothing Banach space regularization
ETNA - Electronic Transactions on Numerical Analysis, 2022 This paper studies Tikhonov regularization for finitely smoothing operators in Banach spaces when the penalization enforces too much smoothness in the sense that the penalty term is not finite at the true solution. In a Hilbert space setting, Natterer (1984) showed with the help of spectral theory that optimal rates can be achieved in this situation. ('
Miller, Philip, Hohage, Thorsten
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The regularity series of a convergence space II [PDF]
Bulletin of the Australian Mathematical Society, 1976 This study is a continuation of an earlier paper on the regularity series of a convergence space. The notions of aR-Hausdorff series and theT3-modification of a convergence space are introduced, and their relationship with the regularity series is studied. The concept of a symmetric space is shown to be useful in studyingT3-compactifications.
Kent, Darrell C., Richardson, G. D.
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Optimal Convergence Rates for Tikhonov Regularization in Besov Spaces [PDF]
SIAM Journal on Numerical Analysis, 2020 This paper deals with Tikhonov regularization for linear and nonlinear ill-posed operator equations with wavelet Besov norm penalties. We show order optimal rates of convergence for finitely smoothing operators and for the backwards heat equation for a range of Besov spaces using variational source conditions.
Weidling, Frederic +2 more
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Weak convergence of Euler scheme for SDEs with low regular drift [PDF]
, 2021 In this paper, we investigate the weak convergence rate of Euler-Maruyama’s approximation for stochastic differential equations with low regular drifts. Explicit weak convergence rates are presented if drifts satisfy an integrability condition including ...
YONGQIANG SUO +2 more
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The regularity series of a convergence space [PDF]
Bulletin of the Australian Mathematical Society, 1975 The regularity series, or brieflyR-series, of a convergence space is an ordinal sequence of spaces leading to the regular modification of the space. The behavior of this series is studied relative to such basic constructs as products, subspaces, and various quotient maps.
Richardson, G. D., Kent, Darrell C.
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Regularity of fuzzy convergence spaces [PDF]
Open Mathematics, 2018 Abstract(Fuzzy) convergence spaces are extensions of (fuzzy) topological spaces. ⊤-convergence spaces are one of important fuzzy convergence spaces. In this paper, we present an extending dual Fischer diagonal condition, and making use of this we discuss a regularity of ⊤-convergence spaces.
Li Lingqiang, Jin Qiu, Yao Bingxue
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