Pointwise convergence of multiple Fourier series: Sufficient conditions and an application to numerical integration

DOI10.1016/0022-247X(92)90108-PzbMath0799.42006MaRDI QIDQ1206889

S. Singh

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

numerical integrationequidistributionmultiple Fourier seriespointwise convergencelattice rulesmultiple integrationequal-weight quadrature rule

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Fourier series and coefficients in several variables (42B05)

Related Items (2)

Integration of nonperiodic functions of two variables by Fibonacci lattice rules ⋮ Ian Sloan and Lattice Rules

Cites Work

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• Lattice methods for multiple integration
• On the localization property of multiple Fourier series
• Lattice Methods for Multiple Integration: Theory, Error Analysis and Examples
• SOME PROBLEMS IN THE THEORY OF SIMPLE AND MULTIPLE TRIGONOMETRIC AND ORTHOGONAL SERIES
• A theorem of Cesari on mulitple Fourier series

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