Bounded functions with large circular variation

On the generalization of Trapezoid Inequality for functions of two variables with bounded variation and applications

In this paper, a generalization of trapezoid inequality for functions of two independent variables with bounded variation and some applications are given.

Minimizing functions with bounded variation of subgradients

In many applications it is possible to justify a reasonable bound for possible variation of subgradients of objective function rather than for their uniform magnitude. In this paper we develop a new class of efficient primal-dual subgradient schemes for such problem classes.

Functions of Bounded Higher Variation

In this paper we de ne functions of bounded n-variation, which we call BnV functions, and we establish some properties of such functions. These are a natural generalization of the space of BV functions. In particular, in the same way that the BV norm naturally allows functions with discontinuities along sets of codimension one, we show that BnV functions may have discontinuities along codimensi...

p-Lambda-bounded variation

A characteriation of continuity of the $p$-$Lambda$-variation function is given and the Helly's selection principle for $Lambda BV^{(p)}$ functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on modulus of variation of functions of class $Lambda BV^{(p)}$ is found.

Functions of bounded variation on idempotent semigroups