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Multifunctions of bounded variation [PDF]

open access: yesJournal of Differential Equations, 2015
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]

open access: yesRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
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]

open access: yes, 2015
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]

open access: greenReal Analysis Exchange, 2000
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]

open access: goldThe Annals of Mathematical Statistics, 1969
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]

open access: yesMathematische Annalen, 2021
51 pages, 11 figures. Revised version incorporating referee's suggestions.
Richard Oberlin   +5 more
openaire   +4 more sources

Composing Functions of Bounded Variation [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1981
Michael Josephy
  +5 more sources

On functions of bounded variation [PDF]

open access: yesMathematical Proceedings of the Cambridge Philosophical Society, 2016
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]

open access: bronzeProceedings of the American Mathematical Society, 2000
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

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