stair function

A stair function is a real function of the form

ϕ=k=1nakχIk (1)

where  ak,  χIk is the characteristic functionMathworldPlanetmathPlanetmathPlanetmath, k=1,2,,n and I1,I2,In are bounded, pairwise disjoint intervals, for some n.

Title stair function
Canonical name StairFunction
Date of creation 2013-03-22 15:32:32
Last modified on 2013-03-22 15:32:32
Owner georgiosl (7242)
Last modified by georgiosl (7242)
Numerical id 6
Author georgiosl (7242)
Entry type Definition
Classification msc 26-00