<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Brahimi, Mahmoud</style></author><author><style face="normal" font="default" size="100%">Melkemi, Khaled</style></author><author><style face="normal" font="default" size="100%">Boussaad, Abdelmallk</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Design of nonstationary wavelets through thepositive solution of Bezout&amp;#39;s equation</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Interdisciplinary Mathematics</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2020</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">DOI:10.1080/09720502.2020.1792102</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">24</style></volume><pages><style face="normal" font="default" size="100%">1-13</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">In this paper, we present a new technique for constructing a nonstationary wavelet. The key idea relies on the following: for each wavelet level, we solve the Bezout’s equation and we propose a positive solution over the interval [–1, 1]. Using the Bernstein’s polynomials we approximate this proposed positive solution with the intention to perform a spectral factorization.</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue></record></records></xml>