Overview document for: A weight function theory of basis function interpolants and smoothers

TL;DR

This overview summarizes developments in weight function theory for basis function smoothers and interpolants, covering both zero and positive order theories, to advance understanding and application of these mathematical tools.

Contribution

It provides a concise summary of two related documents that extend the weight function theory for basis function smoothers and interpolants, focusing on different order theories.

Findings

Development of zero order weight function theory

Extension to positive order weight function theory

Enhanced understanding of basis function smoothers and interpolants

Abstract

This document is a brief overview of two documents which continue to develop the weight function theory of basis function smoothers and interpolants. One document considers the zero order theory and one considers the positive order theory.