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Convergence of a Class of Non–Orthogonal Wavelet–Expansion in

Abstract

It is known that a function in   2 L R can be represented by its wavelet expansion with convergence in   2 L R –norm. But the case is different in LR norm. In this paper we shall discuss the convergence of non–orthogonal wavelet expansions in the   p L R norm, 1 p . 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].

Jyoti Agrawal

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