A discrete Korovkin theorem


In this paper we give a sufficient condition for the pointwise Korovkin property on B(X), the space of bounded real valued functions on an arbitrary countable set X = {xl,..., xj,...}. Our theorem follows from its Lp(X, μ) analogue (and conversely); here 1 ≤ p < ∞ and μ is a positive finite measure on X such that μ({xj}) > 0 for all j. © 1985.

Publication Title

Journal of Approximation Theory