Über optimale Quadraturformeln mit freien Knoten zu Hilberträumen periodischer Funktionen.
Über universal optimale Quadraturformeln
Umkehrsätze beim Trapezverfahren.
Un procédé d'approximation d'une fonction convexe lipschitzienne et de ses singularités
Un schéma d’interpolation rationnel sur un quadrilatère de classe
Une construction "homogène" d'approximants de Padé à deux variables complexes.
Une méthodologie du calcul hardware des fonctions élémentaires
Une représentation intégrale de l'erreur d'Interpolation.
Unicity of Best One-Sided L1-Approximations
Uniform approximation by minimum norm interpolation.
Uniform convergence results for certain two-dimensional Cauchy principal value integrals.
Uniform decompositions of polytopes
We design a method of decomposing convex polytopes into simpler polytopes. This decomposition yields a way of calculating exactly the volume of the polytope, or, more generally, multiple integrals over the polytope, which is equivalent to the way suggested in Schechter, based on Fourier-Motzkin elimination (Schrijver). Our method is applicable for finding uniform decompositions of certain natural families of polytopes. Moreover, this allows us to find algorithmically an analytic expression for the...
Unilateral elastic subsoil of Winkler's type: Semi-coercive beam problem
The mathematical model of a beam on a unilateral elastic subsoil of Winkler's type and with free ends is considered. Such a problem is non-linear and semi-coercive. The additional assumptions on the beam load ensuring the problem solvability are formulated and the existence, the uniqueness of the solution and the continuous dependence on the data are proved. The cases for which the solutions need not be stable with respect to the small changes of the load are described. The problem is approximated...
Unique solvability in bivariate Hermite interpolation.
Univariate Shepard-Lagrange interpolation
Univariate spline quasi-interpolants and applications to numerical analysis.
Universal approximation by hill functions
Universal approximations of certain functionals in Banach spaces
Universal simultaneous approximations of the coefficient functionals
Universally optimal approximation of functionals
A universal optimal in order approximation of a general functional in the space of continuous periodic functions is constructed and its fundamental properties and some generalizations are investigated. As an application the approximation of singular integrals is considered and illustrated by numerical results.