English

Euler-Maclaurin formulas for functions of bounded variation

Functional Analysis 2017-01-04 v2

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 R\mathbb R. We formulate here the analogue for functions that are just of bounded variation.

Keywords

Cite

@article{arxiv.1612.08737,
  title  = {Euler-Maclaurin formulas for functions of bounded variation},
  author = {Giuseppe De Marco and Carlo Mariconda and Marco De Zotti},
  journal= {arXiv preprint arXiv:1612.08737},
  year   = {2017}
}

Comments

Added references, 12 pages

R2 v1 2026-06-22T17:35:29.317Z