Asymptotic equivalence of sequences and summability [PDF]
International Journal of Mathematics and Mathematical Sciences, 1997 For a sequence-to-sequence transformation A, let RmAx=∑n≥m|(Ax)n| and μmAx=supn≥m|(Ax)n|. The purpose of this paper is to study the relationship between the asymptotic equivalence of two sequences (limnxn/yn=1) and the variations of asymptotic ...
Jinlu Li
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On the Ψ-asymptotic equivalence of the Ψ-bounded solutions of two Lyapunov matrix differential equations [PDF]
ITM Web of Conferences, 2020 Using Schauder Tychonoff fixed point theorem and the technique of Kronecker product of matrices, we prove existence results for Ψ-asymptotic equivalence of the Ψ-bounded solutions of two Lyapunov matrix differential equations.
Diamandescu Aurel
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Linear maps preserving equivalence or asymptotic equivalence on Banach space
Open Mathematics, 2023 Let XX be a complex Banach space with dimension at least two and B(X)B\left(X) the algebra of all bounded linear operators on XX. We show that a bijective linear map Φ\Phi preserves asymptotic equivalence if and only if it preserves equivalence, and in ...
Qin Zijie, Chen Lin
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Step-stress accelerated degradation test for Inverse Gaussian process based on M-optimality criterion [PDF]
Scientific ReportsStep-Stress Accelerated Degradation Test (SSADT) has been extensively employed in reliability assessment of degradation-induced failure products, with growing attention focused on its optimal design.
Jiayin Tang, Hao Zhou
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On Asymptotically Lacunary Statistical Equivalent Set Sequences [PDF]
Journal of Mathematics, 2013 This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence.
Uğur Ulusu, Fatih Nuray
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The Ψ−asymptotic equivalence of the Lyapunov matrix differential equations with modified argument [PDF]
ITM Web of Conferences, 2022 Using the notion of strict h−contraction, existence results for Ψ−asymptotic equivalence of two pairs of (Lyapunov) matrix differential equations with modified argument are given.
Diamandescu Aurel
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On asymptotic statistical equivalence of order of generalised difference sequences [PDF]
Maejo International Journal of Science and Technology, 2014 We introduce and examine the concepts of asymptotic statistical equivalence of order , and strong asymptotic equivalence of order of sequences. Also, we give some relations connected to these concepts.
Mikail Et +2 more
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On the Asymptotic Equivalence of Ordinary and Functional Stochastic Differential Equations
Journal of Optimization, Differential Equations and Their Applications, 2023 This paper studies the asymptotic behavior of solutions of linear stochastic functional-differential equations. This behavior is investigated using the method of asymptotic equivalence, according to which an ordinary system of linear differential ...
Olexandr M. Stanzhytskyi +2 more
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Asymptotic equivalence of symplectic capacities [PDF]
Commentarii Mathematici Helvetici, 2016 A long-standing conjecture states that all normalized symplectic capacities coincide on the class of convex subsets of \mathbb R^{2n} . In this note we focus on an asymptotic (in the dimension) version of this conjecture, and show that when ...
Gluskin, Efim, Ostrover, Yaron
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The Almost Equivalence by Asymptotic Probabilities for Regular Languages and Its Computational Complexities [PDF]
Electronic Proceedings in Theoretical Computer Science, 2016 We introduce p-equivalence by asymptotic probabilities, which is a weak almost-equivalence based on zero-one laws in finite model theory. In this paper, we consider the computational complexities of p-equivalence problems for regular languages and ...
Yoshiki Nakamura
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