2 papers
math.OC2024
The Lavrentiev phenomenon
Raphaël Cerf, Carlo Mariconda
The basic problem of the calculus of variations consists of finding a function that minimizes an energy, like finding the fastest trajectory between two points for a point mass in…
math.FA2017
Euler-Maclaurin formulas for functions of bounded variation
Giuseppe De Marco, Carlo Mariconda, Marco De Zotti
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 . We form…