Transcendental Bernstein Series: Interpolation and Approximation
Zakieh Avazzadeh, Hossein Hassani, J. A. Tenreiro Machado, P. Agarwal, Eskandar Naraghirad · BENTHAM SCIENCE PUBLISHERS eBooks · 2023
This paper adopts the transcendental Bernstein series (TBS), a set of basis functions based on the Bernstein polynomials (BP), for approximating analytical functions. The TBS is more accurate than the BP method, particularly in approximating functions including one or more transcendental terms. The numerical results reveal also the applicability and higher computational efficiency of the new approach.