Approximation of functions of two variables by certain linear positive operators

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dc.creatorTasdelen, Fatma
dc.creatorOlgun, Ali
dc.creatorBascanbaz-Tunca, Gulen
dc.date2007-09-21
dc.date.accessioned2026-07-07T08:31:23Z
dc.date.available2026-07-07T08:31:23Z
dc.descriptionWe introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables. We also find the order of this approximation by using modulus of continuity. Moreover we define an $r$th order generalization of these operators and observe its approximation properties. Furthermore, we study the convergence of the linear positive operators in a weighted space of functions of two variables and find the rate of this convergence using weighted modulus of continuity.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0709.3345
dc.identifierhttp://arxiv.org/abs/0709.3345
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138489
dc.subjectClassical Analysis and ODEs
dc.titleApproximation of functions of two variables by certain linear positive operators
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