Results 11 to 20 of about 2,239,568 (291)

Infinite matrices and absolute almost convergence

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
In 1973, Stieglitz [5] introduced a notion of FB-Convergence which provided a wide generalization of the classical idea of almost convergence due to Lorentz [1].
Mursaleen
doaj   +2 more sources

Almost sure convergence on chaoses

open access: yesProceedings of the American Mathematical Society, 2019
We present several new phenomena about almost sure convergence on homogeneous chaoses that include Gaussian Wiener chaos and homogeneous sums in independent random variables. Concretely, we establish the fact that almost sure convergence on a fixed finite sum of chaoses forces the almost sure convergence of each chaotic component ...
Poly, Guillaume, Zheng, Guangqu
openaire   +5 more sources

Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations [PDF]

open access: yes, 2011
By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke   +2 more
core   +4 more sources

NEW TYPE OF ALMOST CONVERGENCE [PDF]

open access: yes, 2021
In [1] for a given sequence $(\lambda_{n})$ with $\lambda_{n}< \lambda_{n+1}  \rightarrow \infty$ a new summability method $C_{\lambda}$ was introduced which generalizes the classical Ces\`{a}ro method.
Yıldırım, Elif Nuray   +1 more
core   +1 more source

Almost sure exponential stability of backward Euler–Maruyama discretizations for hybrid stochastic differential equations [PDF]

open access: yes, 2011
This is a continuation of the first author's earlier paper [1] jointly with Pang and Deng, in which the authors established some sufficient conditions under which the Euler-Maruyama (EM) method can reproduce the almost sure exponential stability of the ...
Shen, Yi, Mao, Xuerong, Gray, Alison
core   +4 more sources

On regular almost convergence [PDF]

open access: yesMathematical Communications, 1996
In this paper possible regularity definitions for almost convergent double sequences are considered as generalizations of the regular convergence in the sense of G. H. Hardy and F.Móricz. Classes of almost convergent sequences with almost convergent rows and columns are characterized; also, a theorem on the principal limit and on row (as well as column)
D. Butković, Butković, D.
core   +5 more sources

Almost sure exponential stability of numerical solutions for stochastic delay differential equations [PDF]

open access: yes, 2010
Using techniques based on the continuous and discrete semimartingale convergence theorems, this paper investigates if numerical methods may reproduce the almost sure exponential stability of the exact solutions to stochastic delay differential equations (
Szpruch, Lukasz, Wu, Fuke, Mao, Xuerong
core   +4 more sources

The surprising almost everywhere convergence of Fourier–Neumann series [PDF]

open access: yes, 2009
For most orthogonal systems and their corresponding Fourier series, the study of the almost everywhere convergence for functions in Lp requires very complicated research, harder than in the case of the mean convergence.
Ciaurri, Óscar [0000-0002-1695-3311]   +3 more
core   +1 more source

On Another Type of Convergence for Intuitionistic Fuzzy Observables

open access: yesMathematics, 2023
The convergence theorems play an important role in the theory of probability and statistics and in its application. In recent times, we studied three types of convergence of intuitionistic fuzzy observables, i.e., convergence in distribution, convergence
Katarína Čunderlíková
doaj   +1 more source

Some Convergence Properties of the Sum of Gaussian Functionals

open access: yesDemonstratio Mathematica, 2016
In the paper, some aspects of the convergence of series of dependent Gaussian sequences problem are solved. The necessary and sufficient conditions for the convergence of series of centered dependent indicators are obtained.
Wałachowska Agnieszka
doaj   +1 more source

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