Generalized Difference Lacunary Weak Convergence of Sequences [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we introduce the concept of generalized difference lacunary weak convergence of sequences. Using the concept of difference operator, we have introduced some new classes of sequences. We investigated several of its algebraic and topological
Bibhajyoti Tamuli, Binod Tripathy
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Weak convergence of CD kernels and applications [PDF]
, 2007 We prove a general result on equality of the weak limits of the zero counting measure, $d\nu_n$, of orthogonal polynomials (defined by a measure $d\mu$) and $\frac{1}{n} K_n(x,x) d\mu(x)$.
Simon, Barry
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Weak statistical convergence and weak filter convergence for unbounded sequences
Journal of Mathematical Analysis and Applications, 2010 First, the authors give a refinement of the result due to \textit{R.\,Aron, D.\,García} and \textit{M.\,Maestre} [J.~Convex Anal.\ 16, 667--672 (2009; Zbl 1191.46014)] that in every separable Banach space \(X\) there is a weakly dense sequence that tends to infinity in norm.
Kadets, Vladimir +2 more
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Weak order in averaging principle for stochastic differential equations with jumps
Advances in Difference Equations, 2018 In this paper, we deal with the averaging principle for a two-time-scale system of jump-diffusion stochastic differential equations. Under suitable conditions, we expand the weak error in powers of timescale parameter.
Bengong Zhang +3 more
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Lw∗wc and Rw∗wc and weak amenability of banach algebras [PDF]
Journal of Hyperstructures, 2012 We introduce some new concepts as lef t − weak∗ − weak convergence property [Lw∗wc−property] and right−weak∗− weak convergence property [Rw∗wc−property] for Banach algebra A. Suppose that A ∗ and A ∗∗, respectively, have Rw∗wc−property and Lw∗wc−property,
K. Haghnejad Azar, Z. Ranjbar
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Improving Convergence Analysis of the Newton–Kurchatov Method under Weak Conditions
Computation, 2020 The technique of using the restricted convergence region is applied to study a semilocal convergence of the Newton−Kurchatov method. The analysis is provided under weak conditions for the derivatives and the first order divided differences ...
Ioannis K. Argyros +2 more
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Weak convergence of the complex fractional Brownian motion
Advances in Difference Equations, 2018 In this paper, we obtain two approximations in law of the complex fractional Brownian motion by processes constructed from a Poisson process and a Lévy process, respectively.
Liheng Sang, Guangjun Shen, Qingbo Wang
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Weak convergence of the sequence of successive approximations for nonexpansive mappings
, 1967 In a recent paper [4] F. E. Browder and W. V. Petryshyn have shown that if a nonexpansive mapping T: X—>X of a Hubert space X into itself is asymptotically regular and has a t least one fixed point then, for any x in X, a weak limit of a weakly ...
Z. Opial
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A Note on Conditional Versus Joint Unconditional Weak Convergence in Bootstrap Consistency Results [PDF]
, 2017 The consistency of a bootstrap or resampling scheme is classically validated by weak convergence of conditional laws. However, when working with stochastic processes in the space of bounded functions and their weak convergence in the Hoffmann–Jørgensen ...
Axel Bücher, I. Kojadinovic
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On weak conditional convergence of bivariate Archimedean and Extreme Value copulas, and consequences to nonparametric estimation [PDF]
, 2020 Looking at bivariate copulas from the perspective of conditional distributions and considering weak convergence of almost all conditional distributions yields the notion of weak conditional convergence.
Thimo M. Kasper, S. Fuchs, W. Trutschnig
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