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
Applications of a general comparison theorem for convolution integrals
Applications of fixed point theorems to approximation theory
Approximants de Padé des fonctions binômes et mesures de l'irrationalité des racines de nombres rationnels
Approximants de Padé et -dérivation
Approximants de Padé-Hermite. 1ère partie: théorie.
Approximants de Padé-Hermite. 2ème partie: programmation.
Approximate best proximity pairs in metric space.
Approximate Fekete points for weighted polynomial interpolation.
Approximate properties of the de la Vallée Poussin means for the discrete Fourier-Jacobi sums.