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Strong Proximal Continuity and Convergence [PDF]
Abstract and Applied Analysis, 2013 In several situations the notion of uniform continuity can be strengthened to strong uniform continuity to produce interesting properties, especially in constrained problems. The same happens in the setting of proximity spaces.
Agata Caserta +2 more
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On statistical convergence and strong Cesàro convergence by moduli [PDF]
Journal of Inequalities and Applications, 2019 In this paper we will establish a result by Connor, Khan and Orhan (Analysis 8:47–63, 1988; Publ. Math. (Debr.) 76:77–88, 2010) in the framework of the statistical convergence and the strong Cesàro convergence defined by a modulus function f. Namely, for
Fernando León-Saavedra +3 more
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Modularity of Convergence and Strong Convergence in Infinitary Rewriting [PDF]
Logical Methods in Computer Science, 2010 Properties of Term Rewriting Systems are called modular iff they are preserved under (and reflected by) disjoint union, i.e. when combining two Term Rewriting Systems with disjoint signatures.
Stefan Michael Kahrs
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On strong form of Arzela convergence [PDF]
International Journal of Mathematics and Mathematical Sciences, 1997 We define some new type of convergence of nets of functions which is formulated in terms of open covers. It preserves continuity and under some assumptions implies (or coincides with) the Arzela quasi-uniform convergence.
Janina Ewert
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Strong μ‐faster convergence and strong μ‐acceleration of convergence by regular matrices [PDF]
Mathematical Modelling and Analysis, 2008 The present paper continues the study of acceleration of convergence started in the paper [A. Aasma, Proc. Estonian Acad. Sci. Phys. Math., 2006, 55, 4, 195–209].
Ants Aasma
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Strong almost convergence and almost λ-statistical convergence [PDF]
Hokkaido Mathematical Journal, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ekrem Savaş
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Weak Convergence Is Not Strong Convergence For Amenable Groups [PDF]
Canadian Mathematical Bulletin, 2001 AbstractLet G be an infinite discrete amenable group or a non-discrete amenable group. It is shown how to construct a net (fα) of positive, normalized functions in L1(G) such that the net converges weak* to invariance but does not converge strongly to invariance.
Joseph Rosenblatt, George A. Willis
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Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings [PDF]
Fixed Point Theory and Applications, 2007 We modified the classic Mann iterative process to have strong convergence theorem for a finite family of nonexpansive mappings in the framework of Hilbert spaces. Our results improve and extend the results announced by many others.
Meijuan Shang +2 more
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Strong convergence of multivariate maxima [PDF]
Journal of Applied Probability, 2020 AbstractIt is well known and readily seen that the maximum of n independent and uniformly on [0, 1] distributed random variables, suitably standardised, converges in total variation distance, as n increases, to the standard negative exponential distribution. We extend this result to higher dimensions by considering copulas.
Falk, Micheal +2 more
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Journal of Inequalities and Applications, 2023 We correct a logic mistake in our paper “On statistical convergence and strong Cesàro convergence by moduli for double sequences” (León-Saavedra et al. in J. Inequal. Appl. 2022:62, 2022).
Fernando León-Saavedra +2 more
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