Erdős-Turán type discrepancy bounds

DOI10.1007/BF01332351zbMath0719.11046OpenAlexW2088409158MaRDI QIDQ2639894

Peter J. Grabner

Publication date: 1991

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178515

zbMATH Keywords

uniform distributionErdős-Turan-Koksma inequalityspherical cap discrepancy

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Related Items (15)

Uniform distribution of the weighted sum-of-digits functions ⋮ General discrepancy estimates. III: The Erdös-Turán-Koksma inequality for the Haar function system ⋮ Approximating Probability Measures on Manifolds via Radial Basis Functions ⋮ Discrepancy, separation and Riesz energy of finite point sets on the unit sphere ⋮ Polynomial discrepancy of sequences ⋮ On the Density of Coprime Tuples of the Form (n, ⌊ f 1(n)⌋, …, ⌊ f k (n)⌋), Where f 1, …, f k Are Functions from a Hardy Field ⋮ Point sets on the sphere \(\mathbb{S}^{2}\) with small spherical cap discrepancy ⋮ Energy functionals, numerical integration and asymptotic equidistribution on the sphere. ⋮ Quasi-Monte Carlo rules for numerical integration over the unit sphere \({\mathbb{S}^2}\) ⋮ On the Wasserstein distance between classical sequences and the Lebesgue measure ⋮ Optimal logarithmic energy points on the unit sphere ⋮ Spherical Designs, Discrepancy and Numerical Integration ⋮ LeVeque type inequalities and discrepancy estimates for minimal energy configurations on spheres ⋮ On the distribution of points in projective space of bounded height ⋮ Distributing many points on spheres: minimal energy and designs

Cites Work

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• Irregularities of distribution. IV
• Some extremal functions in Fourier analysis
• Trigonometric Approximation and Uniform Distribution Modulo One
• Gleichverteilung auf Produkten von Sphären.
• On some new questions on the distribution of prime numbers

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