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On Properties of q-Bernstein polynomials

BROWSE_DETAIL_CREATION_DATE: 23-05-2017

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BROWSE_DETAIL_TYPE: Thesis

BROWSE_DETAIL_SUB_TYPE: Masters

BROWSE_DETAIL_PUBLISH_STATE: Unpublished

BROWSE_DETAIL_FORMAT: PDF Document

BROWSE_DETAIL_LANG: English

BROWSE_DETAIL_SUBJECTS: Mathematics,

BROWSE_DETAIL_CREATORS: Almesbahi, Manal Mastafa Abdsallm (Author),

BROWSE_DETAIL_CONTRIBUTERS: Turan, Mehmet (Advisor),

BROWSE_DETAIL_TAB_KEYWORDS

Uniform convergence, Bernstein polynomials, q-calculus, q-Bernsteinpolynomials, limit q-Bernstein operators, iterates, weakly Picard operator


BROWSE_DETAIL_TAB_ABSTRACT

The aim of this thesis is to study the theory of the Bernstein polynomials and itsrecent extension to the q-calculus. The main focus of the present study is on theq-Bernstein polynomials which appeared twenty years ago and have been attractingmany researchers afterward. This work exhibits a review of well-known results on theBernstein polynomials along with the necessary preliminaries, introduction to the theoryof the q-Bernstein polynomials, and some new developments. The latter includethe result on strong operator limit for the sequence of the limit q-Bernstein operatorsand the proposition that the q-Bernstein operators are weakly Picard.


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