Richard M. Karp, Raymond E. Miller
Journal of Computer and System Sciences
Let σ: R → R be such that for some polynomial P, σ P is bounded. We consider the linear span of the functions {σ(λ · (x - t)): λ, t ε{lunate} Rs}. We prove that unless σ is itself a polynomial, it is possible to uniformly approximate any continuous function on Rs arbitrarily well on every compact subset of Rs by functions in this span. Under more specific conditions on σ, we give algorithms to achieve this approximation and obtain Jackson-type theorems to estimate the degree of approximation. © 1992.
Richard M. Karp, Raymond E. Miller
Journal of Computer and System Sciences
Fausto Bernardini, Holly Rushmeier
Proceedings of SPIE - The International Society for Optical Engineering
M. Shub, B. Weiss
Ergodic Theory and Dynamical Systems
Jonathan Ashley, Brian Marcus, et al.
Ergodic Theory and Dynamical Systems