Summary
We consider rational best approximations to functions real-valued and continuous on closed unbounded intervals of the extended real numbers. The error of the best approximation is characterized by an alternant, whose length may be different from the well-known number for a bounded interval. Besides some exceptional cases the best approximation is unique.
Similar content being viewed by others
Literatur
Achieser, N. I.: Vorlesungen über Approximationstheorie. Berlin: Akademie-Verlag 1966
Blatt, H.-P.: Rationale Approximation auf [0, ∞]. ZAMM53, T 182–183 (1973)
Brosowski, B.: Nicht-lineare Tschebyscheff-Approximation. Mannheim: Bibliographisches Institut 1968
Meinardus, G.: Approximation of functions: Theory and numerical methods. Berlin-Heidelberg-New York: Springer 1967
Werner, H.: Vorlesung über Approximationstheorie. In: Lecture notes in mathematics. Berlin-Heidelberg-New York: Springer 1966
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Blatt, HP. Rationale Tschebyscheff-Approximation über unbeschränkten Intervallen. Numer. Math. 27, 179–190 (1977). https://doi.org/10.1007/BF01396638
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01396638