On Approximation to Functions Satisfying A Generalized Continuity Condition

On functions with the derivative satisfying a geometric condition

In this paper, we prove some properties of the analytic functions whose derivatives takes values outside of a parabola. Some applications are given. 2008 Elsevier Inc. All rights reserved.

Approximation of o-minimal maps satisfying a Lipschitz condition

Consider an o-minimal expansion of the real field. We show that definable Lipschitz continuous maps can be definably fine approximated by definable continuously differentiable Lipschitz maps whose Lipschitz constant is close to that of the original map.

On the approximation of functions satisfying defective renewal equations

Functions satisfying a defective renewal equation arise commonly in applied probability models. Usually these functions don’t admit a explicit expression. In this work we consider to approximate them by means of a gamma-type operator given in terms of the Laplace transform of the initial function. We investigate which conditions on the initial parameters of the renewal equation give optimal ord...

On ℤ4 codes satisfying the chain condition

On Regular Rings Satisfying Weak Chain Condition

In this paper, we shall study regular rings satisfying weak chain condition. As main results, we show that regular rings satisfying weak chain condition are unit-regular, and show that these rings have the unperforation and power cancellation properties for the family of finitely generated projective modules.