-convergence of Bernstein-Kantorovich-type operators
We study a Kantorovich-type modification of the operators introduced in [1] and we characterize their convergence in the -norm. We also furnish a quantitative estimate of the convergence.
L1-Approximation to Zero.
Lagrange multipliers for higher order elliptic operators
In this paper, the Babuška’s theory of Lagrange multipliers is extended to higher order elliptic Dirichlet problems. The resulting variational formulation provides an efficient numerical squeme in meshless methods for the approximation of elliptic problems with essential boundary conditions.
Lagrange multipliers for higher order elliptic operators
In this paper, the Babuška's theory of Lagrange multipliers is extended to higher order elliptic Dirichlet problems. The resulting variational formulation provides an efficient numerical squeme in meshless methods for the approximation of elliptic problems with essential boundary conditions.
Le reste de la série de Taylor
Least squares approximations of power series.
Lebesgue constants in polynomial interpolation.
Left general fractional monotone approximation theory
We introduce left general fractional Caputo style derivatives with respect to an absolutely continuous strictly increasing function g. We give various examples of such fractional derivatives for different g. Let f be a p-times continuously differentiable function on [a,b], and let L be a linear left general fractional differential operator such that L(f) is non-negative over a closed subinterval I of [a,b]. We find a sequence of polynomials Qₙ of degree ≤n such that L(Qₙ) is non-negative over I,...
Legendre and Chebyshev Spectral Approximations of Burger's Equation.
Leja's type polynomial condition and polynomial approximation in Orlicz spaces
Linear Programming and Discrete Polynomial Type Approximation in the L_1 Norm
Lineare Approximation durch komplexe Exponentialsummen.
Linearkombinationen von iterierten Bernsteinoperatoren.
Local approximation properties of certain class of linear positive operators via I-convergence
In this study, we obtain a local approximation theorems for a certain family of positive linear operators via I-convergence by using the first and the second modulus of continuities and the elements of Lipschitz class functions. We also give an example to show that the classical Korovkin Theory does not work but the theory works in I-convergence sense.
Lₚ-deviations from zero of polynomials with integral coefficients
Mean convergence of Grünwald interpolation operators.
Méthodes stochastiques pour la détermination de polynômes de Bernstein
Minimum Relative Error Approximations for 1/t.
Mixed norm condition numbers for the univariate Bernstein basis
We study mixed norm condition numbers for the univariate Bernstein basis for polynomials of degree n, that is, we measure the stability of the coefficients of the basis in the -sequence norm whereas the polynomials to be represented are measured in the -function norm. The resulting condition numbers differ from earlier results obtained for p = q.
Nearly Coconvex Approximation
* Part of this work was done while the second author was on a visit at Tel Aviv University in March 2001Let f ∈ C[−1, 1] change its convexity finitely many times, in the interval. We are interested in estimating the degree of approximation of f by polynomials, and by piecewise polynomials, which are nearly coconvex with it, namely, polynomials and piecewise polynomials that preserve the convexity of f except perhaps in some small neighborhoods of the points where f changes its convexity. We obtain...