Convergence and Characterization of Wavelets Associated with Dilation Matrix in Variable Spaces

Devendra Kumar

doi:10.1155/2013/254694

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Convergence and Characterization of Wavelets Associated with Dilation Matrix in Variable Spaces

Journal article

Peer reviewed

Convergence and Characterization of Wavelets Associated with Dilation Matrix in Variable Spaces

Devendra Kumar

Journal of mathematics (Hidawi), Vol.2013, pp.1-7

2013

DOI: https://doi.org/10.1155/2013/254694

Abstract

We study the convergence of wavelet expansions associated with dilation matrix in the variable spaces using the approximate identity. Also, we obtain conditions for the wavelet characterizations of with respect to norm estimates. Moreover, the results of Izuki (2008) and Kumar (2009) have been extended.

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Title: Convergence and Characterization of Wavelets Associated with Dilation Matrix in Variable Spaces
Creators - without role: Devendra Kumar - Department of Mathematics, Research and Post Graduate Studies, M. M. H. College, Model Town, Ghaziabad, Uttar Pradesh 20/001, India
Publication Details: Journal of mathematics (Hidawi), Vol.2013, pp.1-7
Identifiers: 9912403408331
Academic Unit: Al Baha University
Language: English
Resource Type: Journal article