Stable multiresolution analysis on triangles for surface compression.
Stable rank of Fourier algebras and an application to Korovkin theory.
Statistical approximation by positive linear operators
Using A-statistical convergence, we prove a Korovkin type approximation theorem which concerns the problem of approximating a function f by means of a sequence Tₙ(f;x) of positive linear operators acting from a weighted space into a weighted space .
Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the q-integers
In the present paper we introduce and investigate weighted statistical approximation properties of a q-analogue of the Baskakov and Baskakov-Kantorovich operators. By using a weighted modulus of smoothness, we give some direct estimations for error in the case 0 < q < 1.
Statistical approximation properties of q-Baskakov-Kantorovich operators
In the present paper we introduce a q-analogue of the Baskakov-Kantorovich operators and investigate their weighted statistical approximation properties. By using a weighted modulus of smoothness, we give some direct estimations for error in case 0 < q < 1.
Statistical approximation to Bögel-type continuous and periodic functions
In this paper, considering A-statistical convergence instead of Pringsheim’s sense for double sequences, we prove a Korovkin-type approximation theorem for sequences of positive linear operators defined on the space of all real valued Bögel-type continuous and periodic functions on the whole real two-dimensional space. A strong application is also presented. Furthermore, we obtain some rates of A-statistical convergence in our approximation.
Statistical estimates for generalized splines
In this paper it is shown that the generalized smoothing spline obtained by solving an optimal control problem for a linear control system converges to a deterministic curve even when the data points are perturbed by random noise. We furthermore show that such a spline acts as a filter for white noise. Examples are constructed that support the practical usefulness of the method as well as gives some hints as to the speed of convergence.
Statistical Estimates for Generalized Splines
In this paper it is shown that the generalized smoothing spline obtained by solving an optimal control problem for a linear control system converges to a deterministic curve even when the data points are perturbed by random noise. We furthermore show that such a spline acts as a filter for white noise. Examples are constructed that support the practical usefulness of the method as well as gives some hints as to the speed of convergence.
Statistical extension of the Korovkin-type approximation theorem.
Stečkin inequalities for summability methods.
Stein estimation for infinitely divisible laws
Unbiased risk estimation, à la Stein, is studied for infinitely divisible laws with finite second moment.
Stetigkeitsaussagen bei der Tschebyscheff-Approximation mit Exponentialsummen.
Stochastic Properties of Quadrature Formulas.
Strict Chebyshev Approximation for General Systems of Linear Equations.
Strict positive definiteness on spheres via disk polynomials.
Strong converse inequality for a spherical operator.
Strong proximinality and polyhedral spaces.
In any dual space X*, the set QP of quasi-polyhedral points is contained in the set SSD of points of strong subdifferentiability of the norm which is itself contained in the set NA of norm attaining functionals. We show that NA and SSD coincide if and only if every proximinal hyperplane of X is strongly proximinal, and that if QP and NA coincide then every finite codimensional proximinal subspace of X is strongly proximinal. Natural examples and applications are provided.
Strong summability of Ciesielski-Fourier series
A strong summability result is proved for the Ciesielski-Fourier series of integrable functions. It is also shown that the strong maximal operator is of weak type (1,1).
Strong unicity criterion in some space of operators
Let be a finite dimensional Banach space and let be a hyperplane. Let . In this note, we present sufficient and necessary conditions on being a strongly unique best approximation for given . Next we apply this characterization to the case of and to generalization of Theorem I.1.3 from [12] (see also [13]).
Strong uniqueness.