Approximate maxima
Approximate of functions of two variables
Approximate smoothness of continuous functions
Approximate symmetric derivative and monotonicity
Approximately generalized convex functions.
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 of Lebesgue Integrals by Riemann Sums and Lattice Points in Domains with Fractal Boundary.
Approximation of Quasiconvex Functions, and Lower Semicontinuity of Multiple Integrals.
Approximation of set-valued functions with compact images-an overview
Continuous set-valued functions with convex images can be approximated by known positive operators of approximation, such as the Bernstein polynomial operators and the Schoenberg spline operators, with the usual sum between numbers replaced by the Minkowski sum of sets. Yet these operators fail to approximate set-valued functions with general sets as images. The Bernstein operators with growing degree, and the Schoenberg operators, when represented as spline subdivision schemes, converge to set-valued...
Approximation of the dilogarithm 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 of Ultra-Differentiable Functions by Polynomials and Entire Functions.
Approximation of Univariate Set-Valued Functions - an Overview
2000 Mathematics Subject Classification: 26E25, 41A35, 41A36, 47H04, 54C65.The paper is an updated survey of our work on the approximation of univariate set-valued functions by samples-based linear approximation operators, beyond the results reported in our previous overview. Our approach is to adapt operators for real-valued functions to set-valued functions, by replacing operations between numbers by operations between sets. For set-valued functions with compact convex images we use Minkowski...
Approximation of by .
Approximations and error bounds for computing the inverse mapping
In this paper we propose a procedure to construct approximations of the inverse of a class of differentiable mappings. First of all we determine in terms of the data a neighbourhood where the inverse mapping is well defined. Then it is proved that the theoretical inverse can be expressed in terms of the solution of a differential equation depending on parameters. Finally, using one-step matrix methods we construct approximate inverse mappings of a prescribed accuracy.
Approximative Funktionalgleichungen und Mittelwertsätze für Dirichletreihen, die Spitzenformen assoziiert sind.
Archimedes was right.II.
Are most measurable functions one-to-one?
Are the coefficients of a polynomial well-conditioned functions of its roots?