A generalization of Floater–Hormann interpolants

Themistoclakis, Woula; Van Barel, Marc

doi:10.1016/j.cam.2023.115683

Journal of Computational and Applied Mathematics

2024

DOI: 10.1016/j.cam.2023.115683

|View full text |Cite

A generalization of Floater–Hormann interpolants

Woula Themistoclakis,

Marc Van Barel

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

A note on generalized Floater–Hormann interpolation at arbitrary distributions of nodes

Themistoclakis,

Van Barel

2024

Numer Algor

View full text Add to dashboard Cite

The paper is concerned with a generalization of Floater–Hormann (briefly FH) rational interpolation recently introduced by the authors. Compared with the original FH interpolants, the generalized ones depend on an additional integer parameter $$\gamma >1$$ γ > 1 , that, in the limit case $$\gamma =1$$ γ = 1 returns the classical FH definition. Here we focus on the general case of an arbitrary distribution of nodes and, for any $$\gamma >1$$ γ > 1 , we estimate the sup norm of the error in terms of the maximum (h) and minimum ($$h^*$$ h ∗ ) distance between two consecutive nodes. In the special case of equidistant ($$h=h^*$$ h = h ∗ ) or quasi–equidistant ($$h\approx h^*$$ h ≈ h ∗ ) nodes, the new estimate improves previous results requiring some theoretical restrictions on $$\gamma $$ γ which are not needed as shown by the numerical tests carried out to validate the theory.

show abstract

A note on generalized Floater–Hormann interpolation at arbitrary distributions of nodes

Themistoclakis,

Van Barel

2024

Numer Algor

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

A generalization of Floater–Hormann interpolants

Cited by 1 publication

References 12 publications

A note on generalized Floater–Hormann interpolation at arbitrary distributions of nodes

A note on generalized Floater–Hormann interpolation at arbitrary distributions of nodes

Contact Info

Product

Resources

About