Almira, J. M. ; Luther, U. : A Note on Simultaneous Diophantine Approximation
- Author(s):
-
Almira, J. M.
Luther, U.
- Title:
- A Note on Simultaneous Diophantine Approximation
- Electronic source:
-
application/postscript
- Preprint series:
- Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 11, 2001
- Mathematics Subject Classification:
-
41A10 [ Approximation by polynomials ] 41A28 [ Simultaneous approximation ] 41A29 [ Approximation with constraints ] - Abstract:
- In this note we solve a Müntz type problem by the use of classical Bernstein polynomials and we use our focus to prove that in certain cases the simultaneous diophantine approximation of functions is possible also when we delete an infinite set of powers $\{x^{\alpha_i}\}$. The proofs are easy and constructive.
- Keywords:
- Language:
-
English
- Publication time:
- 3 / 2002
