On functions of bounded n-th variation

Some Perturbed Inequalities of Ostrowski Type for Functions whose n-th Derivatives Are Bounded

We firstly establish an identity for $n$ time differentiable mappings Then, a new inequality for $n$ times differentiable functions is deduced. Finally, some perturbed Ostrowski type inequalities for functions whose $n$th derivatives are of bounded variation are obtained.

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.

Functions of bounded variation on idempotent semigroups

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...

A companion of Ostrowski's inequality for functions of bounded variation and applications

A companion of Ostrowski's inequality for functions of bounded variation and applications are given.