Complexity of Sobolev imbeddings and integration in the deterministic and randomized settings

DOI10.1360/012010-569zbMath1499.46072OpenAlexW2332259200MaRDI QIDQ5017646

Pei Xin Ye

Publication date: 17 December 2021

Published in: SCIENTIA SINICA Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1360/012010-569

zbMATH Keywords

Monte Carlo integrationaverage case settingrandomized methodSobolev imbedding\(n\)-th minimal error

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Approximate quadratures (41A55) Numerical integration (65D30)

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