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Approximation with some bernstein-type operators defined in symmetric interval

2022
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Advisor: Dr. Öğr. Üyesi Nazmiye Gönül Bilgin

Abstract (EN)

In the first part; important theoretical information used are included. In the next section; important properties of the approach with one and two dimensional Bernstein polynomials are given. Then, the basic features of approximation by one and two variable q-Bernstein polynomials and p,q-Bernstein polynomials are given. In third part; generalized Bernstein-Schurer operator and generalized Bernstein-Schurer-Kantorovich operators are defined and it is shown that these operators satisfy the conditions of Korovkin's theorem. In addition, calculation of rate of convergence of both operators was investigated with the help of modulus of continuity. In fourth part is the application part of thesis. In this section, graphic drawings and error calculation are given numerically. In the last chapter, the results are given.

Author

Dr. Melis Eren

How to Cite

Melis Eren (Master Thesis). Approximation with some bernstein-type operators defined in symmetric interval, 2022, Zonguldak Bülent Ecevit University.

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