On the interpolation of discontinuous functions

Details On the interpolation of discontinuous functions On the interpolation of discontinuous functions

2010-09-15

arxiv.org/abs/1009.2954v2

Mathematics

Functional Analysis

Scientific paper

Given a sequence of real numbers, we consider its subsequences converging to possibly different limits and associate to each of them an index of convergence which depends on the density of the associated subsequences. This index turns out to be useful for a complete description of some phenomena in interpolation theory at points of discontinuity of the first kind. In particular we give some applications to Lagrange and Shepard operators.

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