-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.
Michele Campiti, Giorgio Metafune (1996)
Annales Polonici Mathematici
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.
Jens Fromm (1976)
Mathematische Zeitschrift
Carlos Zuppa (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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.
Carlos Zuppa (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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.
E. Amigues (1893)
Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale
Guyker, James (2006)
International Journal of Mathematics and Mathematical Sciences
Smith, Simon J. (2006)
Annales Mathematicae et Informaticae
George A. Anastassiou (2016)
Applicationes Mathematicae
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,...
Y. Maday, A. Quarteroni (1981)
Numerische Mathematik
Wiesław Pleśniak (1985)
Annales Polonici Mathematici
Kyriakos J. Spyropoulos (1974)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Manfred v. Golitschek (1976)
Mathematische Zeitschrift
Günter Felbecker (1979)
Manuscripta mathematica
Mehmet Özarslan, Hüseyin Aktuǧlu (2008)
Open Mathematics
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.
Francisco Luquin (1995)
Acta Arithmetica
Chen, Zhixiong (2003)
International Journal of Mathematics and Mathematical Sciences
Serge Dubuc (1975)
Annales de l'I.H.P. Probabilités et statistiques
Ned Anderson (1989)
Numerische Mathematik
Tom Lyche, Karl Scherer (2006)
Banach Center Publications
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.
Leviatan, D., Shevchuk, I. (2002)
Serdica Mathematical Journal
* 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...