On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables
Let an,n≥1 be a sequence of positive constants with an/n↑ and let X,Xn,n≥1 be a sequence of pairwise negatively quadrant dependent random variables. The complete convergence for pairwise negatively quadrant dependent random variables is studied under ...
Aiting Shen, Ying Zhang, Andrei Volodin
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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
Su, Yongfu, Qin, Xiaolong
openaire +2 more sources
Density by moduli and Wijsman lacunary statistical convergence of sequences of sets
The main object of this paper is to introduce and study a new concept of f-Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded modulus.
Vinod K Bhardwaj, Shweta Dhawan
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Strong convergence of solutions to nonautonomous Kolmogorov equations
We study a class of nonautonomous, linear, parabolic equations with unbounded coefficients on $\mathbb R^{d}$ which admit an evolution system of measures.
Lorenzi, Luca +2 more
core +1 more source
ABSTRACT Background Parents of children treated for acute lymphoblastic leukemia (ALL) often experience significant caregiver burden and disruption to their well‐being. While parent quality of life (QoL) during treatment is well characterized, little is known about outcomes during early survivorship.
Sara Dal Pra +3 more
wiley +1 more source
Bregman Distance and Strong Convergence of Proximal-Type Algorithms
The purpose of this paper is to discuss some fundamental properties of Bregman distance, generalized projection operators, firmly nonexpansive mappings, and resolvent operators of set-valued monotone operators corresponding to a functional Φ(∥·∥).
Li-Wei Kuo, D. R. Sahu
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Rough statistical convergence on triple sequence of the Bernstein operator of random variables in probability [PDF]
This paper aims to improve further on the work of Phu (2001), Aytar (2008), and Ghosal (2013). We propose a new apporach to extend the application area of rough statistical convergence usually used in triple sequence of the Bernstein operator of real ...
Nagarajan Subramanian +2 more
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An explicit Euler scheme with strong rate of convergence for financial SDEs with non-Lipschitz coefficients [PDF]
We consider the approximation of stochastic differential equations (SDEs) with non-Lipschitz drift or diffusion coefficients. We present a modified explicit Euler-Maruyama discretisation scheme that allows us to prove strong convergence, with a rate ...
Chassagneux, Jean-Francois +2 more
core +1 more source
Mapping the evolution of mitochondrial complex I through structural variation
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
wiley +1 more source
Mathematical study of the betaplane model: Equatorial waves and convergence results [PDF]
We are interested in a model of rotating fluids, describing the motion of the ocean in the equatorial zone. This model is known as the Saint-Venant, or shallow-water type system, to which a rotation term is added whose amplitude is linear with respect to
Gallagher, Isabelle +1 more
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