Abstract
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.
Keywords: Transcendental functions; Bernstein polynomials; Transcendental Bernstein series.
Related Books
Boundary Element Methods for Heat Transfer with Phase Change Problems: Theory and Application
On Generalized Growth rates of Integer Translated Entire and Meromorphic Functions
Introductory Statistics
Advanced Mathematical Applications in Data Science
Advanced Calculus - Fundamentals of Mathematics
Advanced Numerical Methods for Complex Environmental Models: Needs and Availability
Advances in Time Series Forecasting
Advances in Time Series Forecasting
Current Developments in Mathematical Sciences
Current Developments in Mathematical Sciences