Estimates for En (Xn + 2m).
Estimates for spline projections
Estimates for the Lebesgue functions and the Nevai formula for the sinc-approximations of continuous functions on an interval.
Estimates of the approximation error using Rademacher complexity: Learning vector-valued functions.
Estimating a discrete distribution via histogram selection
Our aim is to estimate the joint distribution of a finite sequence of independent categorical variables. We consider the collection of partitions into dyadic intervals and the associated histograms, and we select from the data the best histogram by minimizing a penalized least-squares criterion. The choice of the collection of partitions is inspired from approximation results due to DeVore and Yu. Our estimator satisfies a nonasymptotic oracle-type inequality and adaptivity properties in the minimax...
Estimating a discrete distribution via histogram selection
Our aim is to estimate the joint distribution of a finite sequence of independent categorical variables. We consider the collection of partitions into dyadic intervals and the associated histograms, and we select from the data the best histogram by minimizing a penalized least-squares criterion. The choice of the collection of partitions is inspired from approximation results due to DeVore and Yu. Our estimator satisfies a nonasymptotic oracle-type inequality and adaptivity properties in the minimax...
Estimating powers with base close to unity and large exponents.
Estimation of a smoothness parameter by spline wavelets
We consider the smoothness parameter of a function f ∈ L²(ℝ) in terms of Besov spaces , . The existing results on estimation of smoothness [K. Dziedziul, M. Kucharska and B. Wolnik, J. Nonparametric Statist. 23 (2011)] employ the Haar basis and are limited to the case 0 < s*(f) < 1/2. Using p-regular (p ≥ 1) spline wavelets with exponential decay we extend them to density functions with 0 < s*(f) < p+1/2. Applying the Franklin-Strömberg wavelet p = 1, we prove that the presented estimator...
Estimation of error in approximate numerical integration near a simple pole using Chebyshev points
In this note quadrature formula with error estimate for functions with simple pole is discussed. Chebyshev points of the second kind are used as the nodes of integration.
Estimation of the error for two-point formula via pre-Grüss inequality.
Estimation of the integral modulus of smoothness of an even function of several variables with quasiconvex Fourier coefficients.
Estimations de l'erreur d'approximation par splines d'interpolation et d'ajustement d'ordre (m, s).
Estimations de l'erreur d'approximation sur un domaine borné de Rn par Dm-splines d'interpolation et d'ajustement discrètes.
Estimations d'erreur pour des éléments finis droits presque dégénérés
Estimations des erreurs de meilleure approximation polynomiale et d'interpolation de Lagrange dans les espaces de Sobolev d'ordre non entier.
Étude de la convergence du produit tensoriel de fonctions spline à une variable satisfaisant à des conditions d'interpolation de Lagrange
Étude et convergence de fonctions «spline» complexes
Evaluating approximations to the optimal exercise boundary for American options.
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.
Evaluation de l'erreur dans la méthode des éléments finis.