Multivariate semi-discrete sampling type operators: pointwise approximation properties
Carlo Bardaro, Ilaria Mantellini
TL;DR
This paper extends multivariate sampling operators, providing theoretical approximation properties, including a Voronovskaja formula and specific examples, advancing understanding of their pointwise approximation capabilities.
Contribution
Introduces a multivariate extension of generalized Durrmeyer sampling operators with new approximation formulas and specific examples.
Findings
Established a Voronovskaja type formula for the operators
Provided a quantitative approximation result
Discussed particular examples of the operators
Abstract
In this paper multivariate extension of the generalized Durrmeyer sampling type series are considered. We establish a Voronovskaja type formula and a quantitative version. Finally some particular examples are discussed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsApproximation Theory and Sequence Spaces · Mathematical Approximation and Integration · Advanced Harmonic Analysis Research