Transformation of the Mean Value of Integral On Fourier Series Expansion

Approximation of sigma is a damping factor which is obtained through transformation of mean value of integral to the functionality expanded via Fourier series. Where the result of the transformation is in the form of oscillation function, so as to form a modified partial sums of Fourier series. Through modification of the partial sums of Fourier series, the leap (overshoot) near discontinuity points of the oscillations function can be suppressed.