4 papers
Introduction to generalised Cesaro convergence II
Richard Stone
In this second of three introductory papers, we extend the notion of generalised Cesaro summation/convergence to the more natural setting of what we call remainder Cesaro summation…
Introduction to generalised Cesaro convergence III
Richard Stone
This is the third and last of three papers introducing generalised Cesaro convergence and is split into two parts. In part 1 we introduce the notion of a "Cesaro-adapted scale" and…
Introduction to generalised Cesaro convergence I
Richard Stone
This is the first in a set of three papers providing an introduction to generalised Cesaro convergence. We start with traditional Cesaro methods for extending classical convergence…
Symmetric Rearrangement and Geometric Inequalities on Riemannian Manifolds
Richard Stone
This paper starts by introducing results from geometric measure theory to prove symmetric decreasing rearrangement inequalities on , which give multiple proofs of the…