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Banach limits and uniform almost summability [PDF]

Journal of Mathematical Analysis and Applications, 2011
Some classical Hahn–Schur Theorem-like results on the uniform convergence of unconditionally convergent series can be generalized to weakly unconditionally Cauchy series. In this paper, we obtain this type of generalization via a summability method based
A Aizpuru
exaly   +2 more sources

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A NOTE ON ALMOST UNIFORM CONVERGENCE IN VON NEUMANN ALGEBRAS

QP-PQ, Quantum Probability and White Noise Analysis, 1991
exaly   +2 more sources

Convergence: Weak, Almost Uniform, and in Probability

1996
Consider the relationships between the convergence concepts introduced in the previous section and weak convergence. First we shall be a bit formal and note that convergence in probability to a constant can be defined for maps with different domains (Ω α , A α , P α ) too, so that it is not covered by Definition 1.9.1 in the preceding section.
Aad W. Vaart, Jon A. Wellner
openaire   +1 more source

Almost second order parameter-uniform convergent alternate overlapping Schwarz method for singularly perturbed convection-diffusion problems

Ricerche di Matematica, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Chandra Sekhara Rao, Varsha Srivastava   +1 more
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Uniform almost sure convergence and asymptotic distribution of the wavelet-based estimators of partial derivatives of multivariate density function under weak dependence

Journal of Nonparametric Statistics, 2021
This paper is devoted to the estimation of partial derivatives of multivariate density functions.
Soumaya Allaoui, Salim Bouzebda, Christophe Chesneau, Jicheng Liu   +3 more
openaire   +1 more source

T –UNIFORM AMARTS AND ALMOST SURE CONVERGENCE IN BANACH SPACE

Acta Mathematica Scientia, 1985
Let E be a separable Banach space with norm \(\| \cdot \|\), and \(T^ f\) be the set of all finite stopping times. The author proves that if E has the Radon-Nikodym property and if \((X_ n,f_ n)_{n\geq 1}\) is a \(T^ f\)-uniform amart of class A (i.e. \(\liminf_{T^ f} E \| X_ t\|
openaire   +2 more sources

Almost sure uniform convergence rates for M-smoothers with non-monotone score functions

Statistics & Probability Letters, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhattacharya, P. K., Zhao, Peng-Liang
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Almost uniform convergence on the predual of a von Neumann algebra and an ergodic theorem

1986
Publisher Summary This chapter discusses almost uniform convergence on the predual of von Neumann algebra and an ergodic theorem. Because L ∞ spaces over measure spaces are the prototypes of commutative von Neumann algebras, sometimes the investigations around a pair ( M , ω ) consisting of a von Neumann algebra M and a positive linear ...
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Jfon parametric time series analysis and prediction: uniform almost sure convergence of the window and jt-nn autoregression estimates

Statistics, 1985
Let be a strictly stationary process which is valued in a compact of Rp1 and q, s be two positive integers. The autoregression function is estimated from {Z1,…ZN} by the classical window and nearest neighbour regres¬sion estimates, For such an estimate Rn we obtain the uniform almost sure convergence property, leading to the almost sure convergence ...
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Uniform almost sure convergence rate of wavelet estimator for regression model with mixed noise

Communications in Statistics - Theory and Methods, 2023
Junke Kou, Qinmei Huang, Hao Zhang
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