Univariate spline quasi-interpolants and applications to numerical analysis

TL;DR

This paper introduces new univariate spline quasi-interpolants on uniform partitions and explores their applications in numerical integration, differentiation, and zero approximation, enhancing computational methods.

Contribution

It presents novel univariate spline quasi-interpolants and demonstrates their use in key numerical analysis tasks, offering improved techniques.

Findings

Effective spline quasi-interpolants for uniform partitions

Enhanced methods for numerical integration and differentiation

Improved zero approximation techniques

Abstract

We describe some new univariate spline quasi-interpolants on uniform partitions of bounded intervals. Then we give some applications to numerical analysis: integration, differentiation and approximation of zeros.