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 approximations» and the cubature of potentials
The paper discusses new cubature formulas for classical integral operators of mathematical physics based on the «approximate approximation» of the density with Gaussian and related functions. We derive formulas for the cubature of harmonic, elastic and diffraction potentials approximating with high order in some range relevant for numerical computations. We prove error estimates and provide numerical results for the Newton potential.
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.
Approximate Regularity of Commutative Beurling Algebras and Korovkin Approximation.
Approximate smoothings of locally Lipschitz functionals
The paper deals with approximation of locally Lipschitz functionals. A concept of approximation, based on the idea of graph approximation of the generalized gradient, is discussed and the existence of such approximations for locally Lipschitz functionals, defined on open domains in , is proved. Subsequently, the procedure of a smooth normal approximation of the class of regular sets (containing e.g. convex and/or epi-Lipschitz sets) is presented.
Approximate solution of an inhomogeneous abstract differential equation
Recently, we have developed the necessary and sufficient conditions under which a rational function approximates the semigroup of operators generated by an infinitesimal operator . The present paper extends these results to an inhomogeneous equation .
Approximate solutions of equations defined by complex spherical multiplier operators.
Approximate Solutions Of The Operator Linear Differential Equation II
Approximating real Pochhammer products: a comparison with powers
Accurate estimates of real Pochhammer products, lower (falling) and upper (rising), are presented. Double inequalities comparing the Pochhammer products with powers are given. Several examples showing how to use the established approximations are stated.
Approximating the finite Hilbert transform via an Ostrowski type inequality for functions of bounded variation.
Approximation
Approximation and entropy numbers of compact Sobolev embeddings
The aim of the paper is twofold. First we give a survey of some recent results concerning the asymptotic behavior of the entropy and approximation numbers of compact Sobolev embeddings. Second we prove new estimates of approximation numbers of embeddings of weighted Besov spaces in the so called limiting case.
Approximation and entropy numbers of embeddings in weighted Orlicz spaces
Upper estimates are obtained for approximation and entropy numbers of the embeddings of weighted Sobolev spaces into appropriate weighted Orlicz spaces. Results are given when the underlying space domain is bounded and for certain unbounded domains.