Kantorovich Type q-Bernstein Polynomials

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dc.contributor.advisor	Sabancıgil, Pembe
dc.contributor.author	Elatrash, Abubaker Banour Masoud
dc.date.accessioned	2020-10-19T12:05:12Z
dc.date.available	2020-10-19T12:05:12Z
dc.date.issued	2017
dc.date.submitted	2017
dc.identifier.citation	Elatrash, Abubaker Banour Masoud. (2017). Kantorovich Type q-Bernstein Polynomials. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus.	en_US
dc.identifier.uri	http://hdl.handle.net/11129/4662
dc.description	Master of Science in Mathematics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2017. Supervisor: Assist. Prof. Dr. Pembe Sabancıgil.	en_US
dc.description.abstract	In this thesis first of all some elementary results related with positive linear operators, properties of Bernstein operators, q-integers and some identities related with q-integers and also q-Bernstein operators and their properties are studied. Later a q-analogue of the Bernstein-Kantorovich operators, their approximation properties, local and global approximation properties and Voronovskaja type theorem for the q-Bernstein-Kantorovich operators for the case 0<q<1 are examined.	en_US
dc.description.abstract	ÖZ: Bu tezde ilk önce pozitif lineer operatörler ve bu operatörlerin özellikleri, bu operatörlerle ilgili sonuçlar, Bernstein operatörleri incelenmiştir. Ayrıca tamsayıların q-analoğu ve bunlarla ilgili bazı özdeşlikler verildikten sonra Bernstein operatörlerinin q-analoğu ve özellikleri çalışılmıştır. Daha sonra Bernstein-Kantorovich operatörleri ve Bernstein-Kantorovich operatörlerinin q-analoğu verilip q-Bernstein-Kantorovich operatörlerinin yakınsaklık özellikleri, lokal ve global yakınsaklık özellikleri ve 0<q<1 için Voronovskaya tipi teorem incelenmiştir	en_US
dc.language.iso	eng	en_US
dc.publisher	Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ)	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.subject	Mathematics	en_US
dc.subject	Bernstein polynomials	en_US
dc.subject	Kantorovich operators	en_US
dc.subject	q-type Kantorovich operators	en_US
dc.subject	q-Bernstein polynomials	en_US
dc.subject	local and global approximation	en_US
dc.title	Kantorovich Type q-Bernstein Polynomials	en_US
dc.type	masterThesis	en_US
dc.contributor.department	Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics	en_US