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Publications Influence

Interpolation Processes: Basic Theory and Applications

- G. Mastroianni, G. V. Milovanovic
- Mathematics
- 17 November 2008

The classical books on interpolation address numerous negative results, i.e., results on divergent interpolation processes, usually constructed over some equidistant systems of nodes. The authors… Expand

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Weighted Polynomial Inequalities with Doubling and A∞ Weights

- G. Mastroianni, V. Totik
- Mathematics
- 1 April 2000

Abstract. We consider weighted inequalities such as Bernstein, Nikolskii, Remez, etc., inequalities under minimal assumptions on the weights. It turns out that in most cases this mimimal assumption… Expand

119 13

Lagrange Interpolation at Laguerre Zeros in Some Weighted Uniform Spaces

- G. Mastroianni, D. Occorsio
- Mathematics
- 1 April 2001

We introduce an interpolatory process essentially based on the Laguerre zeros and we prove that it is an optimal process in some weighted uniform spaces.

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Nyström interpolants based on zeros of Laguerre polynomials for some Weiner-Hopf equations

- G. Mastroianni, G. Monegato
- Mathematics
- 1 October 1997

We consider a special class of Wiener-Hopf integral equations u(y) - λ ∫ 0 ∞ h(y - x)u(x) dx = f(y), with || ∫ 0 ∞ |h(y - x)|dx||∞ < λ -1 , whose solutions u(x) decay exponentially at infinity. First… Expand

48 3

POLYNOMIAL APPROXIMATION ON THE REAL SEMIAXIS WITH GENERALIZED LAGUERRE WEIGHTS

- G. Mastroianni, J. Szabados
- Mathematics
- 2007

We present a complete collection of results dealing with the polynomial approximation of functions on (0,+1).

32 3- PDF

Nyström interpolants based on the zeros of Legendre polynomials for a non-compact integral operator equation

- G. Mastroianni, G. Monegato
- Mathematics
- 1994

We consider two different Nystrom interpolants for the numerical solution of the following singular integral equation (formule...), 0 < x ≤ 1, arising from a problem of determining the distribution… Expand

16 3

On the uniform convergence of Gaussian quadrature rules for Cauchy principal value integrals

- G. Criscuolo, G. Mastroianni
- Mathematics
- 1 July 1989

SummaryIn a previous paper the authors proposed a modified Gaussian ruleФ*m(wf;t)to compute the integral Π(wf;t) in the Cauchy principal value sense associated with the weightw, and they proved the… Expand

30 3

Projection Methods and Condition Numbers in Uniform Norm for Fredholm and Cauchy Singular Integral Equations

- M. C. D. Bonis, G. Mastroianni
- Mathematics, Computer Science
- SIAM J. Numer. Anal.
- 1 April 2006

TLDR

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Some numerical methods for second-kind Fredholm integral equations on the real semiaxis

- G. Mastroianni, G. V. Milovanovic
- Mathematics
- 1 October 2009

In this paper we introduce some numerical methods for solving Fredholm integral equations of the second kind on the real semiaxis and prove that the proposed procedures are stable and convergent.… Expand

33 2

Best Approximation and Moduli of Smoothness for Doubling Weights

- G. Mastroianni, V. Totik
- Mathematics, Computer Science
- J. Approx. Theory
- 1 June 2001

TLDR

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