Bernstein-Type Operators

dc.contributor.advisorOğurlu, Sonuç Zorlu
dc.contributor.authorAli, Kawa Sardar Mohammad
dc.date.accessioned2018-05-17T12:21:03Z
dc.date.available2018-05-17T12:21:03Z
dc.date.issued2016-06
dc.date.submitted2016-06
dc.departmentEastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematicsen_US
dc.descriptionMaster of Science in Mathematics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2016. Supervisor: Prof. Dr. Sonuç Zorlu Oğurlu.en_US
dc.description.abstractIn this work we are interested in the approximation of some type of operators called Bernstein-type. For this purpose, the operator  ,  0,  n L f x f C  called the Bernstein-type approximation operator is considered. The aim is to use some probabilistic properties to improve and sharp to operator defined above. Also, the rates of convergence as well as the continuity of the operator are studied. Various methods of approaching the problem are evaluated in this study. Keywords: Bernstein type operator, probabilistic approach, binomial distribution, rates of convergence.en_US
dc.description.abstractÖZ : Bu çalışmada Bernstein - tipi operatörlerin yaklaşımlarıyla ilgilenilimiştir.Bunun için  ,  0,  n L f x f C  olarak belirtilen Bernstein tipi yaklaşım operatörü ele alınmıştır. Yukarıda verilen operatör için bazı olasılıksal metodlar kullanılarak yaklaşım özellikleri çalışılmıştır. Ayrıca, yakınsama hızı yanı sıra operatörün sürekliliği incelenmiş olup farklı yöntemlerle yaklaşım problemi de bu çalışmada değerlendirilmiştir. Anahtar kelimeler: Bernstein tipi operatörler, olasılıksal yaklaşım, binom dağılımı, yaklaşım hızı.en_US
dc.identifier.citationAli, Kawa Sardar Mohammad. (2016). Bernstein-Type Operators. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus.en_US
dc.identifier.urihttps://hdl.handle.net/11129/3648
dc.language.isoen
dc.publisherEastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ)en_US
dc.relation.publicationcategoryTez
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMathematicsen_US
dc.subjectMathematical Operatorsen_US
dc.subjectBernstein type operatoren_US
dc.subjectprobabilistic approachen_US
dc.subjectbinomial distributionen_US
dc.subjectrates of convergenceen_US
dc.titleBernstein-Type Operatorsen_US
dc.typeMaster Thesis

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