A discrete Korovkin theorem
Abstract
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
Recommended Citation
Anastassiou, G. (1985). A discrete Korovkin theorem. Journal of Approximation Theory, 45 (4), 383-388. https://doi.org/10.1016/0021-9045(85)90034-6
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