Formulas for the Walsh coefficients of smooth functions and their application to bounds on the Walsh coefficients

DOI10.1016/j.jat.2015.12.002zbMath1338.42039arXiv1504.04131OpenAlexW1493483078MaRDI QIDQ259085

Kosuke Suzuki, Takehito Yoshiki

Publication date: 10 March 2016

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04131

zbMATH Keywords

Sobolev spaceBernoulli polynomialssmooth functionWalsh coefficientWalsh series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (6)

Quasi-Monte Carlo integration using digital nets with antithetics ⋮ Construction of interlaced polynomial lattice rules for infinitely differentiable functions ⋮ Approximation of quasi-Monte Carlo worst case error in weighted spaces of infinitely times smooth functions ⋮ A Universal Median Quasi-Monte Carlo Integration ⋮ Super-polynomial convergence and tractability of multivariate integration for infinitely times differentiable functions ⋮ An Explicit Construction of Optimal Order Quasi--Monte Carlo Rules for Smooth Integrands

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