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Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators

dc.creatorAnastassiou, George A.
dc.date2018-10-19
dc.identifierhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/1895
dc.identifier10.4067/S0719-06462018000100001
dc.descriptionA very general positive sublinear Shilkret integral type operator is given through a convolution-like iteration of another general positive sublinear operator with a scaling type function.For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates. Additionally, two examples of very general specialized operators are presented fulfilling all the above properties, the higher order of approximation of these operators is also considered.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/1895/1736
dc.sourceCUBO, A Mathematical Journal; Vol. 20 No. 1 (2018); 01-16en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 20 Núm. 1 (2018); 01-16es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectJackson type inequalityen-US
dc.subjectShilkret integralen-US
dc.subjectmodulus of continuityen-US
dc.subjectshift invarianten-US
dc.subjectglobal smoothness preservationen-US
dc.subjectquantitative approximationen-US
dc.titleApproximation by Shift Invariant Univariate Sublinear-Shilkret Operatorsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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