On the estimation of Cesàro means of orthonormal series
J. Meder (1958)
Annales Polonici Mathematici
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J. Meder (1958)
Annales Polonici Mathematici
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Imre Z. Ruzsa, Andrzej Schinzel (1995)
Compositio Mathematica
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Gunther Schmidt (1995)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The paper discusses new cubature formulas for classical integral operators of mathematical physics based on the «approximate approximation» of the density with Gaussian and related functions. We derive formulas for the cubature of harmonic, elastic and diffraction potentials approximating with high order in some range relevant for numerical computations. We prove error estimates and provide numerical results for the Newton potential.
O. Fomenko (1961)
Acta Arithmetica
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M. Gurdek, L. Rempulska, M. Skorupka (1999)
Collectanea Mathematica
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Y. Guivarch, Y. Le Jan (1996)
Annales scientifiques de l'École Normale Supérieure
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Jamal-Dine Chergui (1996)
Extracta Mathematicae
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This paper deals with the problem of estimation in the parametric case for discrete random variables. Their study is facilitated by the powerful method of probability generating function.