APPROXIMATIONS IN HOLDER'S CLASS AND SOLUTION OF BESSEL'S DIFFERENTIAL EQUATIONS BY EXTENDED HAAR WAVELET

Abstract

. In this paper, extended Haar wavelet has been introduced in the interval [0 ,λ ) , λ > 0 . It reduces to classical Haar wavelet for λ = 1 . The orthonormality of extended Haar wavelets has been discussed. The convergence analysis of an extended Haar wavelet series of a function f belonging to Hölder’s classes