Abstract
In this paper, we obtain a Generalized Discrete Finite Fourier Series by using generalized difference operator with two parameters. Suitable examples are given to illustrate the results.
Highlights
The Fourier Series is the most widely used series expansion in mathematics modeling of engineering systems. It serves as the basis for the Fourier integral, the Laplace transform, the solution of autonomous linear differential equations, frequency response methods and many engineering applications
There are many good treatments on the subject; too many to mention in a comprehensive manner
Sidi[7] reviews the state of the art of extrapolation methods giving applied scientists and engineers a practical guide to accelerating convergence in difficult computational problems
Summary
The Fourier Series is the most widely used series expansion in mathematics modeling of engineering systems. It serves as the basis for the Fourier integral, the Laplace transform, the solution of autonomous linear differential equations, frequency response methods and many engineering applications. There are many good treatments on the subject; too many to mention in a comprehensive manner. The treatment by Tolstov[9] is classical. A periodic function f (x) can be expanded in a Fourier Series. The series consists of the following: (i) A constant term a0. (iii) Components of the harmonics (multiples of the fundamental frequency) determined by a2,a3,...b2,b3,. Are known as Fourier coefficients of Fourier constants.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
