-spline representation of interpolating and smoothing quadratic spline
Backward adaptive biorthogonalization.
Backward Error Analysis for Totally Positive Linear Systems.
Ball proximinality of closed * subalgebras in C(Q)
The notion of ball proximinality and the strong ball proximinality were recently introduced in [2]. We prove that a closed * subalgebra A of C(Q) is strongly ball proximinal in C(Q) and the metric projection from C(Q), onto the closed unit ball of A, is Hausdorff metric continuous and hence has continuous selection.
Ball proximinality of Equable spaces.
Ball remotal subspaces of Banach spaces
We study Banach spaces X with subspaces Y whose unit ball is densely remotal in X. We show that for several classes of Banach spaces, the unit ball of the space of compact operators is densely remotal in the space of bounded operators. We also show that for several classical Banach spaces, the unit ball is densely remotal in the duals of higher even order. We show that for a separable remotal set E ⊆ X, the set of Bochner integrable functions with values in E is a remotal set in L¹(μ,X).
Banach spaces all of whose subspaces have the approximation property
Barycentric Formulae for Cardinal (SINC-) Interpolants.
Bases de type Schauder de C [0,1] et formules de quadrature associées.
Basic compactness properties of nonconforming and hybrid finite element spaces
Basic relations valid for the Bernstein spaces and their extensions to larger function spaces via a unified distance concept
Some basic theorems and formulae (equations and inequalities) of several areas of mathematics that hold in Bernstein spaces are no longer valid in larger spaces. However, when a function f is in some sense close to a Bernstein space, then the corresponding relation holds with a remainder or error term. This paper presents a new, unified approach to these errors in terms of the distance of f from . The difficult situation of derivative-free error estimates is also covered.
Basic sets of polynomials in Clifford analysis
Bemerkung zum oberen Artikel
Bemerkungen zur Approximation stetiger Funktionen in einer p-adischen Variablen. II.
Bemerkungen zur Approximation stetiger Funktionen in einer p-adischen Variablen. I.
Bernstein and van der Corput-Schaake type inequalities on semialgebraic curves
We show that in the class of compact, piecewise curves K in , the semialgebraic curves are exactly those which admit a Bernstein (or a van der Corput-Schaake) type inequality for the derivatives of (the traces of) polynomials on K.
Bernstein approximation of a function whose derivatives satisfy the Lipschitz condition on bounded square or triangle.
Bernstein approximations of Dirichlet problems for elliptic operators on the plane.
Bernstein polynomial is a best approximation polynomial?
Bernstein type operators having 1 and x j as fixed points
For certain generalized Bernstein operators {L n} we show that there exist no i, j ∈ {1, 2, 3,…}, i < j, such that the functions e i(x) = x i and e j (x) = x j are preserved by L n for each n = 1, 2,… But there exist infinitely many e i such that e 0(x) = 1 and e j (x) = x j are its fixed points.