On Koksma-Hlawka inequality

2011/06/23 by Luca Brandolini, Brandolini, L., Leonardo Colzani +5 · 1 citation
Mathematics · #11K38 #41A55 #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1106.4673

openalex publication_date 2011/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The classical Koksma Hlawka inequality does not apply to functions with simple discontinuities. Here we state a Koksma Hlawka type inequality which applies to piecewise smooth functions fχ_Ω, with f smooth and Ω a Borel subset of [0,1]^d.

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