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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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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 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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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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Correction to: On statistical convergence and strong Cesàro convergence by moduli
Journal of Inequalities and Applications, 2023 We correct a logic mistake in our paper “On statistical convergence and strong Cesàro convergence by moduli” (León-Saavedra et al. in J. Inequal. Appl. 23:298, 2019).
Fernando León-Saavedra +3 more
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Strong Convergence Properties and Strong Stability for Weighted Sums of AANA Random Variables [PDF]
Abstract and Applied Analysis, 2013 Zhiyong Chen +3 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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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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On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order α [PDF]
E-Journal of Analysis and Applied Mathematics, 2022 The main object of this article is to introduce the concepts of (f, ρ)− statistical convergence of order α and strong (f, ρ)− summability of order α of sequences of real numbers and give some inclusion relations between these spaces.
Hacer Şengül Kandemir +2 more
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On Modulated Lacunary Statistical Convergence of Double Sequences
Mathematics, 2023 In earlier works, F. León and coworkers discovered a remarkable structure between statistical convergence and strong Cesàro convergence, modulated by a function f (called a modulus function).
María del Pilar Romero de la Rosa
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