dc.contributor.author	Jannat, Farzaneh
dc.contributor.examiningcommittee	Prymak, Andriy (Mathematics), Leblanc, Alexandre (Statistics)	en_US
dc.contributor.supervisor	Kopotun, Kirill (Mathematics)	en_US
dc.date.accessioned	2019-01-08T21:41:22Z
dc.date.available	2019-01-08T21:41:22Z
dc.date.issued	2019	en_US
dc.date.submitted	2019-01-03T15:46:22Z	en
dc.degree.discipline	Mathematics	en_US
dc.degree.level	Master of Science (M.Sc.)	en_US
dc.description.abstract	Approximation theory received much attention in the last century, and an intriguing area in this field is positive linear operators. This thesis is a literature survey on positive linear operators. We discuss some of the well-known examples of positive linear operators. Preserving $k$-monotonicity by positive linear operators is another interesting topic in this area. We are interested if $L_n(f;x)$ is $k$-monotone whenever function $f$ is $k$-monotone. For a sequence of positive linear operators $\{L_n(f;x)\}$, it is a natural question if this sequence converges to $f(x)$ and how fast is this convergence. We study the saturation of these operators. Usually, there is a relation between the rate of convergence and the smoothness of the function being approximated. If increasing smoothness of functions does not result in the increase of the degree of approximation, this phenomenon is called saturation. We discuss iteration of general positive linear operators and give numerical examples.	en_US
dc.description.note	February 2019	en_US
dc.identifier.uri	http://hdl.handle.net/1993/33669
dc.language.iso	eng	en_US
dc.rights	open access	en_US
dc.subject	Mathematics	en_US
dc.title	On positive linear operators	en_US
dc.type	master thesis	en_US

On positive linear operators

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