Linear operations on functions of bounded 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.

On Bounded Linear Functional Operations* By

The set of all bounded linear functional operations on a given vector spacej plays an important role in the consideration of linear functional operations. For the sake of greater definiteness it is desirable to know the form of such operations and a space determined thereby. This problem has been solved for a number of spaces, for instance, all continuous functions on a bounded closed interval,...

Functions of bounded variation on idempotent semigroups

on the effect of linear & non-linear texts on students comprehension and recalling

چکیده ندارد.

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...