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Uniform convergence with rates of general singular operators

dc.creatorAnastassiou, George A.
dc.creatorMezei, Razvan A.
dc.date2013-06-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1305
dc.identifier10.4067/s0719-06462013000200001
dc.descriptionIn this article we study the approximation properties of general singular integral operators over the real line. We establish their convergence to the unit operator with rates. The estimates are mostly sharp and they are pointwise or uniform. The established inequalities involve the higher order modulus of smoothness. We apply this theory to the trigonometric singular operators.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1305/1160
dc.sourceCUBO, A Mathematical Journal; Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal; 01–19en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 15 Núm. 2 (2013): CUBO, A Mathematical Journal; 01–19es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectBest constanten-US
dc.subjectgeneral singular integralen-US
dc.subjecttrigonometric singular integralen-US
dc.subjectmodulus of smoothnessen-US
dc.subjectsharp inequalityen-US
dc.titleUniform convergence with rates of general singular operatorsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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