Approximation of functions of two variables by some linear positive operators.
Approximation of functions of two variables by some operators in weighted spaces
Approximation of functions possessing derivatives of positive orders
Approximation of Gaussian by scaling functions and biorthogonal scaling polynomials.
Approximation of harmonic functions
Let be harmonic in a bounded domain with smooth boundary. We prove that if the boundary values of belong to , where and denotes the surface measure of , then it is possible to approximate uniformly by function of bounded variation. An example is given that shows that this result does not extend to .
Approximation of Hp-functions by Bochner-Riesz means of compact Lie groups.
Approximation of monomials by lower degree polynomials.
Approximation of Multivariable Functions with Respect to Random Points less than 2k, k Dimension of Space.
Approximation of positive operators and continuity of the spectral radius. II.
Approximation of Quasiconvex Functions, and Lower Semicontinuity of Multiple Integrals.
Approximation of set-valued functions by single-valued one
Approximation of signals (functions) belonging to the weighted -class by linear operators.
Approximation of smooth functions and covering properties of sets
Approximation of solutions of nonlinear initial-value problems by B-spline functions
This note is motivated by [GGG], where an algorithm finding functions close to solutions of a given initial value-problem has been proposed (this algorithm has been recalled in Theorem 2.2). In this paper we present a commonly used definition and basic facts concerning B-spline functions and use them to improve the mentioned algorithm. This leads us to a better estimate of the Cauchy problem solution under some additional assumption on f appearing in the Cauchy problem. We also estimate the accuracy...
Approximation of symmetric convex bodies.
Approximation of the Hersch-Pfluger distortion function.
Approximation of the Stieltjes integral and applications in numerical integration
Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand. Bounds on the approximation error are provided. Applications to the Fourier Sine and Cosine transforms on finite intervals are mentioned as well.
Approximation on the semi-infinite interval.
Approximation on the sphere by weighted Fourier expansions.
Approximation on the sphere-a survey