Approximation of Analytic Functions by Chebyshev Functions

Approximation of Analytic Functions by Chebyshev Functions

and Applied Analysis 3 where we refer to 1.4 for the am’s and we follow the convention ∏m−1 j m · · · 1. We can easily check that cm’s satisfy the following relation: m 2 m 1 cm 2 − ( m2 − n2 ) cm am 2.2 for any m ∈ {0, 1, 2, . . .}. Theorem 2.1. Assume that n is a positive integer and the radius of convergence of the power series ∑∞ m 0 amx m is ρ > 0. Let ρ0 min{1, ρ}. Then, every solution y ...

Approximation of Analytic Functions by Special Functions

We survey the recent results concerning the applications of power series method to the study of Hyers–Ulam stability of differential equations.

Approximation of Analytic Functions by Kummer Functions

APPROXIMATION OF 3D-PARAMETRIC FUNCTIONS BY BICUBIC B-SPLINE FUNCTIONS

In this paper we propose a method to approximate a parametric 3 D-function by bicubic B-spline functions

Approximation of Analytic Functions by Bessel’s Functions of Fractional Order

and Applied Analysis 3 The convergence of the power series ∑∞ m 0 amx m seems not to guarantee the existence of solutions to the inhomogeneous Bessel differential equation 1.4 . Thus, we adopt an additional condition to ensure the existence of solutions to the equation. Theorem 2.1. Let ν be a positive nonintegral number, and let ρ be a positive constant. Assume that the radius of convergence o...