The approximations of a function belonging Hölder class Hα[0,1) by second kind Chebyshev wavelet method and applications in solutions of differential equation

Abstract

In this paper, two new estimates [Formula: see text] and [Formula: see text] of a function [Formula: see text] belonging to [Formula: see text] are obtained by Chebyshev wavelet method. These estimators are new, sharper and best possible in Wavelet Analysis. Using this method, the solutions of four differential equations are obtained. These solutions are approximately the same as exact solutions.