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Title: | Bernstein-Type Operators |
Authors: | Oğurlu, Sonuç Zorlu Ali, Kawa Sardar Mohammad Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics |
Keywords: | Mathematics Mathematical Operators Bernstein type operator probabilistic approach binomial distribution rates of convergence |
Issue Date: | Jun-2016 |
Publisher: | Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ) |
Citation: | Ali, 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. |
Abstract: | In 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. ÖZ :
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. |
Description: | Master 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. |
URI: | http://hdl.handle.net/11129/3648 |
Appears in Collections: | Theses (Master's and Ph.D) – Mathematics
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