Results 21 to 30 of about 3,838,631 (296)
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
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On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order α [PDF]
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
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Convergence of Monte Carlo simulations involving the mean-reverting square root process [PDF]
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.
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Strong convergence rates for backward Euler–Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients [PDF]
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
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Pricing exotic options using improved strong convergence [PDF]
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
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Strong Convergence Theorems for Nonexpansive Mapping [PDF]
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
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Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals
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
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Infinite matrices and absolute almost convergence
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
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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
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The Strong Convergence of Schrodinger Propagators [PDF]
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 ...
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