Approximation of Smooth Functions by Weighted Means of N-Point Padé Approximants

• Date: 2013
• Main Authors: Gilewicz, J., Jedynak, R., Гілевич, Я. Я., Єдинак, Р.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2518
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let f be a function we wish to approximate on the interval [x 1 ,x N ] knowing p 1 > 1,p 2 , . . . ,p N coefficients of expansion of f at the points x 1 ,x 2 , . . . ,x N . We start by computing two neighboring N -point Padé approximants (NPAs) of f, namely f 1 = [m/n] and f 2 = [m − 1/n...