Ziv Bar-Yossef, T.S. Jayram, et al.
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.
Ziv Bar-Yossef, T.S. Jayram, et al.
Journal of Computer and System Sciences
Robert F. Gordon, Edward A. MacNair, et al.
WSC 1985
Chai Wah Wu
Linear Algebra and Its Applications
J. LaRue, C. Ting
Proceedings of SPIE 1989