Density theorems with applications in quantum signal processing

DOI10.1016/j.cam.2023.115243arXiv2111.07182OpenAlexW3211665254WikidataQ122415778 ScholiaQ122415778MaRDI QIDQ6178622

Theodore J. Yoder, Rahul Sarkar

Publication date: 4 September 2023

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.07182

zbMATH Keywords

Weierstrass approximation theoremquantum signal processingconstrained polynomial approximationstep function approximation

Mathematics Subject Classification ID

Approximation with constraints (41A29) Approximation by polynomials (41A10) Algorithms for approximation of functions (65D15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimized explicit finite-difference schemes for spatial derivatives using maximum norm
• Approximation of functions by polynomials with various constraints
• A projection algorithm on the set of polynomials with two bounds
• Positivity of cubic polynomials on intervals and positive spline interpolation
• Polynomials with bounds and numerical approximation
• On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces
• A Generalization of Hermite's Interpolation Formula
• Density of convex intersections and applications
• Algorithms For Positive Polynomial Approximation
• Self-Adjoint Operators and Cones
• Exponentially Stable Nonlinear Systems Have Polynomial Lyapunov Functions on Bounded Regions
• Piecewise monotone polynomial interpolation
• Sur un polynôme d'interpolation

This page was built for publication: Density theorems with applications in quantum signal processing