Results 101 to 110 of about 314,072 (276)

Chernoff's Theorem and Discrete Time Approximations of Brownian Motion on Manifolds

, 2004
Let (S(t)) be a one-parameter family S = (S(t)) of positive integral operators on a locally compact space L. For a possibly non-uniform partition of [0,1] define a measure on the path space C([0,1],L) by using a) S(dt) for the transition between ...
Smolyanov, O. G., Weizsaecker, H. v., Wittich, O.   +2 more
core   +2 more sources

Direct and Inverse Theorems on Statistical Approximations by Positive Linear Operators

Rocky Mountain Journal of Mathematics, 2008
The author proves some direct and inverse results on \(A\)-statistical convergence of the sequence of general positive linear operators. The order of \(A\)-statistical convergence is computed by means of the modulus of continuity and Peetre's \(K\)-functionals.
openaire   +4 more sources

A Prospective Study of Individuals at Risk of Multiple Sclerosis Informs the Design of Primary Prevention Studies

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective In multiple sclerosis, the optimal time for deploying a therapeutic intervention is before the central nervous system is damaged; given the success of trials treating the earliest stage of MS, the radiologically isolated syndrome, developing primary prevention strategies is an important next challenge.
Amy W. Laitinen, Ceren Tozlu, Tina Roostaei, Fatoumata Diallo, Kaho Onomichi, Jiyeon Son, Zongqi Xia, Philip L. De Jager   +7 more
wiley   +1 more source

Location‐Specific Hematoma Volume Predicts Early Neurological Deterioration in Supratentorial ICH

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Early neurological deterioration (END) adversely affects outcomes in patients with intracerebral hemorrhage (ICH). This study aimed to determine the location‐specific hematoma volumes for END in supratentorial ICH patients. Methods We retrospectively analyzed supratentorial ICH patients presenting from two prospective cohorts.
Zuoqiao Li, Guilin Meng, Zijie Wang, Xiao Hu, Jing Cheng, Chu Chen, Tiannan Yang, Jiaxin Luo, Zizhen Meng, Xueyun Liu, Qi Li   +10 more
wiley   +1 more source

Pad\'{e}-type approximations to the resolvent of fractional powers of operators

, 2019
We study a reliable pole selection for the rational approximation of the resolvent of fractional powers of operators in both the finite and infinite dimensional setting. The analysis exploits the representation in terms of hypergeometric functions of the
Aceto, Lidia, Novati, Paolo
core  

Probabilistic methods in the approximation by linear positive operators

Indagationes Mathematicae (Proceedings), 1980
AbstractBy the theorem of Daniell-Stone a probabilistic interpretation of sequences of linear positive operators in approximation theory is given which yields a generalization of Korovkin's theorem in the context of uniform integrability. For a class of sequences of linear positive operators defined by using random variables asymptotic results on the ...
openaire   +2 more sources

Clinical Validation of Plasma p‐217tau in Neurological Diseases

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Plasma p‐217tau is a minimally invasive but specific biomarker for diagnosing Alzheimer's disease (AD). However, its disease specificity remains to be clinically evaluated. We validated the reliability of the p‐217tau biomarker in 12 other neurological diseases.
Takeshi Kawarabayashi, Takumi Nakamura, Ryoma Takahashi, Tetsuya Ueda, Seiji Kinoshita, Chikage Uchida, Takashi Sugawara, Kentaro Hashimoto, Kunihiko Ishizawa, Masakuni Amari, Hiroo Kasahara, Yoshio Ikeda, Masamitsu Takatama, Mikio Shoji   +13 more
wiley   +1 more source

Approximation by positive operators

Mathematische Zeitschrift, 1973
ANDÔ, T., Sekiguchi, Takashi, Suzuki, T.   +2 more
openaire   +1 more source

A Systematic Comparison of Alpha‐Synuclein Seed Amplification Assays for Increasing Reproducibility

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Seed amplification assays (SAAs) enable ultrasensitive detection of misfolded α‐synuclein across biofluids and tissues. Yet, heterogeneity in protocols limits cross‐study comparability and clinical translation. Here, we review α‐synuclein SAA methods and their performance across various biological matrices.
Manuela Amaral‐do‐Nascimento, Daniela F. Santos, Tuane C. R. G. Vieira, Tiago F. Outeiro   +3 more
wiley   +1 more source

Approximation of continuously Gâteaux derivable functionals by Markov operators

Journal of Numerical Analysis and Approximation Theory, 1996
The main purpose of this paper is to extend a classical quantitative result in approximation of continuously derivable functions on [a, b] by positive and linear operators, to the approximation by Markov operators of the real-valued functions defined and
S. G. Gal
doaj   +2 more sources