Results 11 to 20 of about 5,586,052 (355)
Multifunctions of bounded variation [PDF]
Consider control systems described by a differential equation with a control term or, more generally, by a differential inclusion with velocity set F(t,x).
Vinter, RB
core +5 more sources
On integral bounded variation [PDF]
In this paper we will investigate the concept of the q-integral p-variation introduced in 1970’s by Terehin. This kind of integral variation has been mainly used, until now, to describe the regularity of functions in Lp\documentclass[12pt]{minimal ...
J. Gulgowski
semanticscholar +3 more sources
A universal bound on the variations of bounded convex functions [PDF]
Given a convex set $C$ in a real vector space $E$ and two points $x,y\in C$, we investivate which are the possible values for the variation $f(y)-f(x)$, where $f:C\longrightarrow [m,M]$ is a bounded convex function. We then rewrite the bounds in terms of
Kwon, Joon
core +3 more sources
ON THE DERIVATIVES OF FUNCTIONS OF BOUNDED VARIATION [PDF]
Using a standard complete metric $w$ on the set $F$ of continuous functions of bounded variation on the interval $[0,1]$, we find that a typical function in $F$ has an infinite derivative at continuum many points in every subinterval of $[0,1]$.
Cater
openalex +6 more sources
A Bound for the Variation of Gaussian Densities [PDF]
Schwartz and Root [5] used Mehler's identity to obtain a bound for the integral of the absolute difference between the bivariate Gaussian density function and the product of its corresponding marginal densities. The result was also extended to the case of two dependent Gaussian vectors.
S. Kullback
openalex +4 more sources
Variation bounds for spherical averages [PDF]
51 pages, 11 figures. Revised version incorporating referee's suggestions.
Richard Oberlin+5 more
openaire +4 more sources
Composing Functions of Bounded Variation [PDF]
Michael Josephy
+5 more sources
On functions of bounded variation [PDF]
AbstractThe recently introduced concept of ${\mathcal D}$-variation unifies previous concepts of variation of multivariate functions. In this paper, we give an affirmative answer to the open question from [20] whether every function of bounded Hardy–Krause variation is Borel measurable and has bounded ${\mathcal D}$-variation.
Aistleitner, Christoph+3 more
openaire +4 more sources
Bounded variation in the mean [PDF]
It is shown that the concept of bounded variation in the mean is not a meaningful generalization of ordinary bounded variation. In fact, it is a characterization of functions which differ from functions of bounded variation on a zero set. Let f be a real-valued function in L1 on the circle group T. We define the corresponding interval function by f (I)
Pamela Pierce, Daniel Waterman
openalex +2 more sources