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Almira, J. M.; Luther, U. : A Note on Simultaneous Diophantine Approximation

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