Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
In this article, the issue of the best uniform approximation of circular arcs with parametrically defined polynomial curves is considered. The best uniform approximation of degree 2 to a circular arc is given in explicit form. The approximation is constructed so that the error function is the Chebyshev polynomial of degree 4; the error function equioscillates five times; the approximation order is four. For θ = π/4 arcs (quarter of a circle), the uniform error is 5.5 × 10−3. The numerical examples demonstrate the efficiency and simplicity of the approximation method as well as satisfy the properties of the best uniform approximation and yield the highest possible accuracy.
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
118-127
Opis fizyczny
Daty
wydano
2016-01-01
otrzymano
2015-09-19
zaakceptowano
2016-01-07
online
2016-03-03
Twórcy
autor
- Abedallah Rababah: Department of Mathematics and Statistics, Jordan University of Science and Technology, 22110 Irbid,
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_math-2016-0012