Korovkin sets and mean ergodic theorems.
Korovkin Theorems for Adapted Spaces with Respect to a Positive Operator.
Korovkin-type convergence results for non-positive operators
Korovkin-type approximation theory usually deals with convergence analysis for sequences of positive operators. In this work we present qualitative Korovkin-type convergence results for a class of sequences of non-positive operators, more precisely regular operators with vanishing negative parts under a limiting process. Sequences of that type are called sequences of almost positive linear operators and have not been studied before in the context of Korovkin-type approximation theory. As an example...
-approximation by the method of integral Meyer-König and Zeller operators
-convergence of Bernstein-Kantorovich-type operators
We study a Kantorovich-type modification of the operators introduced in [1] and we characterize their convergence in the -norm. We also furnish a quantitative estimate of the convergence.
Le théorème de Korovkin dans et
Lipschitz-Nikolskii constants and asymptotic simultaneous approximation of the Mn-operators. (Short Communication).
Lipschitz-Nikolskii constants and asymptotic simultaneous approximation of the Mn-operators.
Lipschitz-Nikolskii Constants for the Gamma Operators of Müller.
Lupaş-Durrmeyer operators.
Minimal projections in tensor product spaces.
Minimal projections onto subspaces of l∞(n) of codimension 2.
Minimal projections with respect to various norms
A theorem of Rudin permits us to determine minimal projections not only with respect...
Mixed K-Functionals: A Measure of Smoothness for Blending-type Approximation.
Nachtrag zu G. Leha: Relative Korovkin-Sätze und Ränder.
Numerical integration with weights of convex functions of algebraic polynomials
On a general class of linear and positive operators.
On a problem of A. Lupaş.
On approximation of copulas.
On approximation of functions by generalized Abel--Poisson operators.