<?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%">George A. Anastassiou</style></author><author><style face="normal" font="default" size="100%">MERVE KESTER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Lp APPROXIMATION WITH RATES BY GENERALIZED DISCRETE SINGULAR OPERATORS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26D15</style></keyword><keyword><style  face="normal" font="default" size="100%">41A17</style></keyword><keyword><style  face="normal" font="default" size="100%">41A25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Here we give the approximation properties with rates of generalized discrete versions of Picard, Gauss-Weierstrass, and Poisson-Cauchy singular operators. We treat both the unitary and non-unitary cases of the operators above. We derive quantitatively ${Lp}$ convergence of these operators to the unit operator by involving the ${Lp}$ higher modulus of smoothness of an ${ Lp(\mathbb{R}) }$ function.&lt;/p&gt;
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