The FFT is exact only for discrete (sampled) functions. A technique is presented which utilizes the FFT and its associated computational speed, and computes the Fourier transform of "smooth" functions ...

Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which ...

Trigonometric functions: Use integration by parts twice and solve for the integral algebraically. Logarithmic/other functions: Prioritize setting $$ u = f (x) $$ if $$ f (x) $$ simplifies when ...

Local polynomial fitting has many exciting statistical properties which where established under i.i.d. setting. However, the need for non-linear time series modeling, constructing predictive intervals ...

Article citations More>> K. N. Srivastava, “Fractional Integration and Integral Equations with Polynomial Kernels,” Journal of the Society for Industrial and Applied Mathematics, Vol. 40, 1965, pp.

We prove the existence of nonconstant harmonic functions with polynomial growth on manifolds with nonnegative Ricci curvature, Euclidean volume growth and unique tangent cone at infinity.

Kasoa (C/R), Feb. 17, GNA – A young Ghanaian Senior High School (SHS) graduate has discovered a new formula for solving polynomial integration. Polynomial integration is a key principle in calculus ...