The best constants in the Khintchine inequality
Uffe Haagerup (1981)
Studia Mathematica
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Displaying similar documents to “On certain infinite products III”
The best constants in the Khintchine inequality
The class number of quadratic fields and the conjectures of Birch and Swinnerton-Dyer
Dorian M. Goldfeld (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On the problem of Gauss
O. Fomenko (1961)
Acta Arithmetica
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Finite dimensional projection constants
H. König, D. Lewis, P.-K. Lin (1983)
Studia Mathematica
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«Approximate approximations» and the cubature of potentials
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.
An application of Kloosterman sums
Imre Z. Ruzsa, Andrzej Schinzel (1995)
Compositio Mathematica
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The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity
Riccardo Adami, Gianfausto Dell'Antonio, Rodolfo Figari, Alessandro Teta (2003)
Annales de l'I.H.P. Analyse non linéaire
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New variants of Khintchine's inequality.
Ioan Serb (2001)
Collectanea Mathematica
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Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used.