Sampling theory with average values on the Sierpinski gasket

DOI10.1007/s00365-016-9341-7zbMath1357.28013arXiv1308.0079OpenAlexW1528228007MaRDI QIDQ329459

Robert J. Ravier, Robert S. Strichartz

Publication date: 21 October 2016

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.0079

zbMATH Keywords

sampling theorySierpiński gasketbandlimited functionsaverage values on cellsspectral decimation

Mathematics Subject Classification ID

Sampling theory, sample surveys (62D05) Fractals (28A80)

Related Items (13)

A strong converse inequality for generalized sampling operators ⋮ Persistence landscapes of affine fractals ⋮ Approximation by multivariate max-product Kantorovich-type operators and learning rates of least-squares regularized regression ⋮ From Strichartz Estimates to Differential Equations on Fractals ⋮ Fourier Series for Fractals in Two Dimensions ⋮ Inverse results of approximation and the saturation order for the sampling Kantorovich series ⋮ The max-product generalized sampling operators: convergence and quantitative estimates ⋮ Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels ⋮ Quantitative estimates for nonlinear sampling Kantorovich operators ⋮ Sampling and interpolation of cumulative distribution functions of Cantor sets in \([0,1\)] ⋮ Extension of saturation theorems for the sampling Kantorovich operators ⋮ Sobolev spaces on p.c.f. self-similar sets I: critical orders and atomic decompositions ⋮ Approximation by max-product sampling Kantorovich operators with generalized kernels

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