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- Michele Campiti, Giusy Mazzone, Cristian Tacelli
- Journal of Approximation Theory
- 2012

In this talk we present some results concerning the interpolation of discontinuous functions. First we consider an index of convergence associated to converging subsequences of a general sequence of real numbers (x n) n≥1. Namely, if L ∈ R, the index of convergence of (x n) n≥1 to L is defined by The definition can be extended to the cases L = ±∞ and also… (More)

- Cristian Tacelli
- Appl. Math. Lett.
- 2010

In the paper the principal result obtained is the estimate for the heat kernel associated to the Schrödinger type operator (1 + |x| α)∆ − |x| β k(t, x, y) ≤ Ct − θ 2 ϕ(x)ϕ(y) 1 + |x| α , where ϕ = (1 + |x| α) 2−θ 4 + 1 α θ−N 2 , θ ≥ N and 0 < t < 1, provided that N > 2, α > 2 and β > α − 2. This estimate improves a similar estimate in [3] with respect to… (More)

- Michele Campiti, Cristian Tacelli
- Journal of Approximation Theory
- 2010

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