Results 21 to 30 of about 3,838,631 (296)

Correction to: On statistical convergence and strong Cesàro convergence by moduli for double sequences

open access: yesJournal 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
doaj   +1 more source

On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order α [PDF]

open access: yesE-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
doaj   +1 more source

Convergence of Monte Carlo simulations involving the mean-reverting square root process [PDF]

open access: yes, 2005
The mean-reverting square root process is a stochastic differential equation (SDE) that has found considerable use as a model for volatility, interest rate, and other financial quantities.
Mao, X., Mao, Xuerong, Higham, D.J.
core   +4 more sources

Strong convergence rates for backward Euler–Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients [PDF]

open access: yes, 2013
In this work, we generalize the current theory of strong convergence rates for the backward Euler–Maruyama scheme for highly non-linear stochastic differential equations, which appear in both mathematical finance and bio-mathematics.
Szpruch, Lukasz, Mao, Xuerong
core   +4 more sources

Pricing exotic options using improved strong convergence [PDF]

open access: yes, 2007
Today, better numerical approximations are required for multi-dimensional SDEs to improve on the poor performance of the standard Monte Carlo integration.
Abe, Klaus E. Schmitz   +3 more
core   +1 more source

Strong Convergence Theorems for Nonexpansive Mapping [PDF]

open access: yesJournal of Systems Science and Complexity, 2007
Let \(C\) be a closed convex subset of a uniformly smooth Banach space \(E\) and \(T\) a nonexpansive selfmap of \(C\) with \(F(T) \neq \emptyset\). Given a point \(u \in C\) and an initial guess \(x_0 \in C\), the author proves the strong convergence of the iteration scheme defined by \(z_n = \gamma_nx_n + (1 - \gamma_n)Tx_n\), \(y_n = \beta_nx_n + (1
Yongfu Su, Xiaolong Qin
openaire   +3 more sources

Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals

open access: yesFixed Point Theory and Applications, 2008
We prove a convergence theorem by the new iterative method introduced by Takahashi et al. (2007). Our result does not use Bochner integrals so it is different from that by Takahashi et al. We also correct the strong convergence theorem recently proved by
Satit Saejung
doaj   +2 more sources

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   +1 more source

An Efficient Iterative Procedure for Proximally Quasi-Nonexpansive Mappings and a Class of Boundary Value Problems

open access: yesAxioms, 2022
It is well-known in the literature that many analytical techniques are introduced in order to find a solution for problems such as functional, differential, and integral equations.
Kifayat Ullah   +4 more
doaj   +1 more source

The Strong Convergence of Schrodinger Propagators [PDF]

open access: yesTransactions of the American Mathematical Society, 1981
Time dependent versions of the Trotter-Kato theorem are discussed using nonstandard analysis. Both standard and nonstandard results are obtained. In particular, it is shown that if a sequence of generators converges in the strong resolvent topology at each time to a limiting generator and if the sequence of generators and limiting generator uniformly ...
openaire   +1 more source

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