Pointwise approximation by Meyer-König and Zeller operators
We study the rate of pointwise convergence of Meyer-König and Zeller operators for bounded functions, and get an asymptotically optimal estimate.
Pointwise estimates for modified positive linear operators
Polynomial approximation and twenty years later.
Positive approximation and interpolation using compactly supported radial basis functions.
Positive operators and approximation in function spaces on completely regular spaces.
Preconditioners and Korovkin-type theorems for infinite-dimensional bounded linear operators via completely positive maps
The classical as well as noncommutative Korovkin-type theorems deal with the convergence of positive linear maps with respect to different modes of convergence, like norm or weak operator convergence etc. In this article, new versions of Korovkin-type theorems are proved using the notions of convergence induced by strong, weak and uniform eigenvalue clustering of matrix sequences with growing order. Such modes of convergence were originally considered for the special case of Toeplitz matrices and...
Projection solutions of Frobenius-Perron operator equations.
Properties of the modulus of continuity for monotonous convex functions and applications.