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Probablistic convergence spaces and regularity [PDF]
International Journal of Mathematics and Mathematical Sciences, 1997 The usual definition of regularity for convergence spaces can be characterized by a diagonal axiom R due to Cook and Fischer. The generalization of R to the realm of probabilistic convergence spaces depends on a t-norm T, and the resulting axiom RT ...
P. Brock, D. C. Kent
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REGULAR CONVERGENCE SPACES [PDF]
Korean Journal of Mathematics, 2013 Summary: In this paper, I introduce the notion of regular convergence space and give some properties of this space. And I give some conditions for the regularity of continuous convergence structure.
exaly +3 more sources
p-Regularity and p-Regular Modification in ⊤-Convergence Spaces [PDF]
Mathematics, 2019 Fuzzy convergence spaces are extensions of convergence spaces. ⊤-convergence spaces are important fuzzy convergence spaces. In this paper, p-regularity (a relative regularity) in ⊤-convergence spaces is discussed by two equivalent approaches. In addition, lower and upper p-regular modifications in ⊤-convergence spaces are further investigated and ...
Qiu Jin, Lingqiang Li, Guangming Lang
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Sequential convergence of regular measures on prehilbert space logics
Journal of Mathematical Analysis and Applications, 2006 Let \(S\) be a pre-Hilbert space and \(E(S)\) be the orthomodular poset of all splitting subspaces of \(S\), i.e., \(E(S)=\{M\subseteq S: M\oplus M^\perp= S\}\). The authors first extend Gleason's theorem to regular bounded charges on \(E(S)\). (``Regular'' means: inner regular with respect to finite-dimensional subspaces.) Then they study a Nikodým ...
E Chetcuti
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New Observation on Cesaro Summability in Neutrosophic -Normed Linear Spaces [PDF]
Neutrosophic Sets and Systems, 2023 We define Cesaro summability in a Neutrosophic 𝓃 -Normed Linear Space in this article. In a Neutrosophic 𝓃-Normed Linear Space, we show the Cesaro summability method to be regular, albeit this does not imply typical convergence in general.
P. Jenifer, M. Jeyaraman
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Some Results on Cesàro summability in Intuitionistic Fuzzy $n$-normed linear Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 The concept of summability plays a central role in finding formal solutions of partial differential equations. In this paper, we introduce the concept of Cesàro summability in an intuitionistic fuzzy $n$-normed linear space (IFnNLS).
Pradip Debnath
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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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Some results of neutrosophic normed space VIA Tribonacci convergent sequence spaces
Journal of Inequalities and Applications, 2022 The concept of Tribonacci sequence spaces by the domain of a regular Tribonacci matrix was introduced by Yaying and Hazarika (Math. Slovaca 70(3):697–706, 2000). In this paper, by using the domain of regular Tribonacci matrix T = ( t i k ) $T = (t _{ik} )
Vakeel A. Khan +2 more
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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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