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| Title: | Kantorovich Type q-Bernstein Polynomials |
| Authors: | Sabancıgil, Pembe
Elatrash, Abubaker Banour Masoud
Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics |
| Keywords: | Mathematics
Bernstein polynomials
Kantorovich operators
q-type Kantorovich operators
q-Bernstein polynomials
local and global approximation |
| Issue Date: | 2017 |
| Publisher: | Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ) |
| 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. |
| 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.
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 |
| 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. |
| URI: | http://hdl.handle.net/11129/4662 |
| Appears in Collections: | Theses (Master's and Ph.D) – Mathematics
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