On Wavelet Approximation of Functions Belonging to Generalized Lipschitz Class Using Haar Scaling Function

The degree of approximation of functions belonging to certain classes by using wavelet techniques is quite interesting in the present scenario. People working in this direction have used the Haar wavelet method in their investigations. But no work seems to have been done so far to find an approximation of functions 𝑓𝜖𝐿𝑖𝑝𝛼𝑝,𝜓 to find the degree of approximation using the Haar wavelet method. Therefore, in this paper, two new theorems on wavelet approximation of the functions, 𝑝𝛼𝑝,𝜓 , 0<𝛼≤1,1≤𝑝<∞, have been established.