Corrected fourier series and its application to function approximation... in a finite interval [0,x0], which has only a finite number of finite discontinuities and has only a finite number of extremes, can be approximated by a uniformly convergent Fourier series and a correction function....
Absolute convergence of double trigonometric fourier series and walsh-fourier seriesIn the first part of our theses we give sufficient conditions for the absolute convergence of the double Fourier series of f in terms of moduli of continuity, of bounded variation in the sense of Vitali or Hardy and Krause, and of the mixed partial derivative in case f is an absolutely...
Comparison between fourier and corrected fourier series methodsFourier series is a method that can solve for many problems especially for solving various differential equations of interest in science and engineering....
Fourier series and their applicationsFourier series are of great importance in both theoretical and applied mathematics....
