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Spline left fractional monotone approximation involving left fractional differential operators

dc.creatorAnastassiou, George A.
dc.date2015-03-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1151
dc.identifier10.4067/S0719-06462015000100005
dc.descriptionLet f ∈ Cs ([−1, 1]), s∈ IN and L∗ be a linear left fractional differential operator such that L∗(f) ≥ 0 on [0,1]. Then there exists a sequence Qn, n ∈ IN of polynomial splines with equally spaced knots of given fixed order such that L∗ (Qn) ≥ 0 on [0, 1]. Furthermore f is approximated with rates fractionally and simultaneously by Qn in the uniform norm. This constrained fractional approximation on [−1, 1] is given via inequalities invoving a higher modulus of smoothness of f(s).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/1151/1013
dc.sourceCUBO, A Mathematical Journal; Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal; 65-73en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 17 Núm. 1 (2015): CUBO, A Mathematical Journal; 65-73es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectMonotone Approximationen-US
dc.subjectCaputo fractional derivativeen-US
dc.subjectfractional linear differential operatoren-US
dc.subjectmodulus of smoothnessen-US
dc.subjectsplinesen-US
dc.titleSpline left fractional monotone approximation involving left fractional differential operatorsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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