A couple of remarks on the convergence of $σ$-fields on probability spaces [PDF]
arXiv, 2016 The following modes of convergence of sub-$\sigma$-fields on a given probability space have been studied in the literature: weak convergence, strong convergence, convergence with respect to the Hausdorff metric, almost-sure convergence, set-theoretic convergence, monotone convergence.
arxiv
The Regulation of Trace Metal Elements in Cancer Ferroptosis
Advanced Biology, EarlyView.The induction of ferroptosis inhibits tumor growth, enhances anticancer efficacy, and overcomes drug resistance. Recent evidence shows nonferrous metal elements play a role in ferroptosis. This review focuses on how trace metals regulate ferroptosis processes like iron accumulation, lipid peroxidation, and antioxidant defense.
Xiaoyan Wang +5 more
wiley +1 more source
Weighted statistical convergence of order α and its applications
Journal of the Egyptian Mathematical Society, 2016 The definition of weighted statistical convergence was first introduced by Karakaya and Chishti (2009) [1]. After that the definition was modified by Mursaleen et al. (2012) [2].
Sanjoy Ghosal
doaj +1 more source
Strong Convergence Theorems of the CQ Method for Nonexpansive Semigroups
Fixed Point Theory and Applications, 2007 Motivated by T. Suzuki, we show strong convergence theorems of the CQ method for nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematical programming.
He Huimin, Chen Rudong
doaj +2 more sources
Strong convergence rate of truncated Euler-Maruyama method for stochastic differential delay equations with Poisson jumps. [PDF]
Front Math China, 2021 Gao S, Hu J, Tan L, Yuan C.
europepmc +1 more source
The strong convergence of operator-splitting methods for the Langevin dynamics model [PDF]
arXiv, 2017 We study the strong convergence of some operator-splitting methods for the Langevin dynamics model with additive noise. It will be shown that a direct splitting of deterministic and random terms, including the symmetric splitting methods, only offers strong convergence of order 1.
arxiv
Elasticity of Diametrically Compressed Microfabricated Woodpile Lattices
Advanced Engineering Materials, EarlyView.Modulus–porosity relationship is derived for woodpile lattices with struts under diametrical compression. The formula presented here that Young's modulus is proportional to the square of the volume fraction E˜ρ2$E \sim \left(\rho\right)^{2}$ is shown to be consistent with computations and laboratory experiments on 3D‐printed samples.
Faezeh Shalchy, Atul Bhaskar
wiley +1 more source
Strong Convergence Theorems for Lipschitzian Demicontraction Semigroups in Banach Spaces
Fixed Point Theory and Applications, 2011 The purpose of this paper is to introduce and study the strong convergence problem of the explicit iteration process for a Lipschitzian and demicontraction semigroups in arbitrary Banach spaces.
Cho YeolJe +3 more
doaj +2 more sources
On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals
Abstract and Applied Analysis, 2013 Following the line of (Das et al., 2011, Savas and Das, 2011), we make a new approach in this paper to extend the notion of strong convergence and more general strong statistical convergence (Şençimen and Pehlivan, 2008) using ideals and introduce the ...
Pratulananda Das +3 more
doaj +1 more source
Advanced Engineering Materials, EarlyView.A metallic implant's higher stiffness compared to the surrounding bone leads to stress shielding problems, causing bone density reduction and bone growth interference in pediatric patients. 3D‐printed triply periodic minimal surface structures present a promising engineering solution.
Ali Ebrahimzadeh Dehaghani +4 more
wiley +1 more source