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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M. Gurdek, L. Rempulska, M. Skorupka (1999)
Collectanea Mathematica
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O. Fomenko (1961)
Acta Arithmetica
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José Tiago de Oliveira (1985)
Trabajos de Estadística e Investigación Operativa
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The purpose of this paper is to study the asymptotic choice between two models {F(x|α), α ∈ A ⊆ R} and {G(x|β), β ∈ B ⊆ R}, A and B being intervals but such that for (α, β}, and only for this pair, we have F(x|α) = G(x|β).
Clifton Whyburn (1968)
Acta Arithmetica
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Stanisław Kwapień, Carsten Schütt (1985)
Studia 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.