Abstract
In this paper positive interpolation operators F n,p , p ϵ ( o, ∞, associated with an arbitrary weight are introduced; they have been considered by Nevai for p = 2 and weights on [−1, 1]. Their basic properties are established and their convergence is proved for 1 < p ⩽ 2 and a certain class of weights on the whole real line. These operators have features similar to those of the Hermite-Fejér interpolation operators.
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