An internal characterization of G-spaces
An intoduction to formal orthogonality and some of its applications.
This paper is an introduction to formal orthogonal polynomials and their application to Padé approximation, Krylov subspace methods for the solution of systems of linear equations, and convergence acceleration methods. Some more general formal orthogonal polynomials, and the concept of biorthogonality and its applications are also discussed.
An iterative Clough-Tocher interpolant
An iterative method for solving operator equations
An operator-theoretic approach to theorems of the Pick-Nevanlinna and carathéodory types.
An Operator-Theoretical Approach to Error Estimation.
An optimal 3-point quadrature formula of closed type and error bounds.
An optimal sequential algorithm for the uniform approximation of convex functions on .
An unusual way of solving linear systems
Mediante integrali multipli agevoli per il calcolo numerico vengono espressi il valore assoluto di un determinante qualsiasi e le formule di Cramer.
Analysis on the unit ball and on the simplex.
Analytic and approximations of norms in separable Banach spaces
Analytic Extended Monosplines.
Analytic interpolation and the degree constraint
Analytic interpolation problems arise quite naturally in a variety of engineering applications. This is due to the fact that analyticity of a (transfer) function relates to the stability of a corresponding dynamical system, while positive realness and contractiveness relate to passivity. On the other hand, the degree of an interpolant relates to the dimension of the pertinent system, and this motivates our interest in constraining the degree of interpolants. The purpose of the present paper is to...
Anisotropic interpolation error estimates via orthogonal expansions
We prove anisotropic interpolation error estimates for quadrilateral and hexahedral elements with all possible shape function spaces, which cover the intermediate families, tensor product families and serendipity families. Moreover, we show that the anisotropic interpolation error estimates hold for derivatives of any order. This goal is accomplished by investigating an interpolation defined via orthogonal expansions.
Antiproximinal sets in the Banach space
If is a Banach space then the Banach space of all -valued convergent sequences contains a nonvoid bounded closed convex body such that no point in has a nearest point in .
Application of Bessel coefficients in approximative expressing of collectives
Application of Bishop-Phelps theorem in the approximation theory.
Application of fixed point theorem to best simultaneous approximation in convex metric spaces
Application of Mazur-Orlicz's theorem in AMISE calculation
An approximation error and an asymptotic formula are given for shift invariant operators of polynomial order ϱ. Density estimators based on shift invariant operators are introduced and AMISE is calculated.
Applications de dualité dans les espaces de Köthe