Convergence of a Class of NonâÂÂOrthogonal WaveletâÂÂExpansion in

It is known that a function in i€¨ i€© 2 L R can be represented by its wavelet expansion with convergence in i€¨ i€© 2 L R –norm. But the case is different in Li‚¢i€¨Ri€© norm. In this paper we shall discuss the convergence of non–orthogonal wavelet expansions in the i€¨ i€© p L R norm, 1i‚£ p i‚£i‚¥. Moreover I have extended the results of Ahmed I Zayed [1] using the approximate identity. Our method and approach are different from those of Ahmed I. Zayed [1].