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

- 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)

In the paper the principal result obtained is the estimate for the heat kernel associated to the Schrödinger type operator (1 + |x|)∆− |x| k(t, x, y) ≤ Ct− θ 2 φ(x)φ(y) 1 + |x|α , where φ = (1 + |x|) 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 the… (More)

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

We improve the quantitative estimate of the convergence in Trotter’s approximation theorem and obtain a representation of the resolvent operators in terms of iterates of linear operators on its whole domain. In the context of the standard simplex we give some estimates for functions of class C2,α which considerably improve some previous estimates and allow… (More)

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