Results 21 to 30 of about 801 (162)
Moment bounds and concentration inequalities for slowly mixing dynamical systems [PDF]
, 2014 We obtain optimal moment bounds for Birkhoff sums, and optimal concentration inequalities, for a large class of slowly mixing dynamical systems, including those that admit anomalous diffusion in the form of a stable law or a central limit theorem with ...
Gouëzel, Sébastien, Melbourne, Ian
core +4 more sources
Berry-Esseen theorem and local limit theorem for non uniformly expanding maps [PDF]
, 2004 We prove that, in Young towers with sufficiently small tails, the speed in the central limit theorem is O(1/\sqrt{n}), and the local limit theorem holds.
Gouezel, Sebastien
core +2 more sources
A Survey of Results on the Limit -Bernstein Operator
Journal of Applied Mathematics, 2013 The limit -Bernstein operator emerges naturally as a modification of the Szász-Mirakyan operator related to the Euler distribution, which is used in the -boson theory to describe the energy distribution in a -analogue of the coherent state.
Sofiya Ostrovska
doaj +1 more source
The Approximation Szász-Chlodowsky Type Operators Involving Gould-Hopper Type Polynomials
Abstract and Applied Analysis, 2017 We introduce the Szász and Chlodowsky operators based on Gould-Hopper polynomials and study the statistical convergence of these operators in a weighted space of functions on a positive semiaxis.
Behar Baxhaku, Artan Berisha
doaj +1 more source
Convergence by Class of Kantorovich-Type q-Szász Operators and Comprehensive Results
MathematicsIn this paper, we primarily use Stancu variants of Kantorovich-type operators to investigate the convergence and other associated properties of new Szász–Mirakjan operators.
Md. Nasiruzzaman +2 more
doaj +1 more source
Limit theorems in the stadium billiard
, 2005 We prove that the Birkhoff sums for ``almost every'' relevant observable in the stadium billiard obey a non-standard limit law. More precisely, the usual central limit theorem holds for an observable if and only if its integral along a one-codimensional ...
Balint, Peter, Gouezel, Sebastien
core +4 more sources
Quasistatic dynamical systems [PDF]
, 2015 We introduce the notion of a quasistatic dynamical system, which generalizes that of an ordinary dynamical system. Quasistatic dynamical systems are inspired by the namesake processes in thermodynamics, which are idealized processes where the observed ...
Dobbs, Neil, Stenlund, Mikko
core +1 more source
Approximation on a class of Phillips operators generated by q-analogue
Journal of Inequalities and Applications, 2020 The main purpose of this article is to introduce a new generalization of q-Phillips operators generated by Dunkl exponential function. We establish some approximation results for these operators. We also determine the order of approximation, and the rate
Abdullah Alotaibi
doaj +1 more source
Quantum properties of dichroic silicon vacancies in silicon carbide [PDF]
, 2018 The controlled generation and manipulation of atom-like defects in solids has a wide range of applications in quantum technology. Although various defect centres have displayed promise as either quantum sensors, single photon emitters or light-matter ...
Bonato, Cristian +14 more
core +2 more sources
Review: Social media use and adolescent mental health – an umbrella review and power analysis
Child and Adolescent Mental Health, EarlyView.Background The relationship between social media use (SMU) and adolescent mental health continues to garner considerable attention, yet findings remain inconsistent and contradictory. This umbrella review aims to synthesize recent evidence on this topic and explore whether inconsistencies may be due to inadequate statistical power. Methods A systematic
Katrine B. Tølbøll
wiley +1 more source