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Euler-Maclaurin formulas for functions of bounded variation

2016/12/25 by Giuseppe De Marco, De Marco, Giuseppe, Carlo Mariconda +3
Mathematics · #65B15 #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1612.08737

openalex publication_date 2016/12/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The first-order Euler-Maclaurin formula relates the sum of the values of a smooth function on an interval of integers with its integral on the same interval on \mathbb R. We formulate here the analogue for functions that are just of bounded variation.

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