Approximation properties of a Stancu -variate operator of beta type.
Approximation properties of bivariate complex -Bernstein polynomials in the case
In the paper, we discuss convergence properties and Voronovskaja type theorem for bivariate -Bernstein polynomials for a function analytic in the polydisc for arbitrary fixed . We give quantitative Voronovskaja type estimates for the bivariate -Bernstein polynomials for . In the univariate case the similar results were obtained by S. Ostrovska: -Bernstein polynomials and their iterates. J. Approximation Theory 123 (2003), 232–255. and S. G. Gal: Approximation by Complex Bernstein and Convolution...
Approximation Properties of Schurer-Stancu Type Polynomials
MSC 2010: 41A25, 41A35
Approximation results for nonlinear integral operators in modular spaces and applications
We obtain modular convergence theorems in modular spaces for nets of operators of the form , w > 0, s ∈ G, where G and H are topological groups and is a family of homeomorphisms Such operators contain, in particular, a nonlinear version of the generalized sampling operators, which have many applications in the theory of signal processing.
Approximationszahlen von Sobolev-Einbettungen.
Aproximace a abstraktní hranice
Asymptotic Behaviour Of Beta Transform Of A Singular Function
Asymptotic Formulae for Recursively Defined Baskakov-type Operators
Bernstein-Durrmeyer type operators
Bernstein-Durrmeyer type operators preserving linear functions
Bernstein-type operators on the half line
We define Bernstein-type operators on the half line by means of two sequences of strictly positive real numbers. After studying their approximation properties, we also establish a Voronovskaja-type result with respect to a suitable weighted norm.
Best approximation in spaces of bounded linear operators [Book]
Box-spline histograms for multivariate density estimation
The uniform approach to calculation of MISE for histogram and density box-spline estimators gives us a possibility to obtain estimators of derivatives of densities and the asymptotic constant.
Certain family of Durrmeyer type operators
The present paper is a continuation of the earlier work of the author. Here we study the rate of convergence of certain Durrmeyer type operators for function having derivatives of bounded variation.
Characterization of saturation classes in
Condensation principles with rates
Constants of strong uniqueness of minimal norm-one projections
In this paper we calculate the constants of strong uniqueness of minimal norm-one projections on subspaces of codimension k in the space . This generalizes a main result of W. Odyniec and M. P. Prophet [J. Approx. Theory 145 (2007), 111-121]. We applied in our proof Kolmogorov’s type theorem (see A. Wójcik [Approximation and Function Spaces (Gdańsk, 1979), PWN, Warszawa / North-Holland, Amsterdam, 1981, 854-866]) for strongly unique best approximation.
Continuity properties of best analytic approximation.
Das Saturationsverhalten spezieller Summationsverfahren auf kompakten Gruppen.
Die Güte der Lp-Approximation durch Kantorovic-Polynome.