Thesis (Ph.D.)--Pennsylvania State University, 2004. / Mode of access: World Wide Web.

Thesis (Ph.D.)--Pennsylvania State University, 2004. / Mode of access: World Wide Web.

Thesis (Ph. D.)--York University, 2001. Graduate Programme in Economics. / Typescript. Includes bibliographical references (leaves 116-121). Also available on the Internet. MODE OF ACCESS via web browser by entering the following URL: http://wwwlib.umi.com/cr/yorku/fullcit?pNQ67896.

Thesis(M.S.)--Auburn University, 2004. / Abstract. Vita. Includes bibliographic references (p.71-72).

Inaug.-Diss.- Bonn. / Includes bibliographical references (p. 58).

Inaug.-Diss.- Bonn. / Includes bibliographical references (p. 58).

Chlodovsky showed that if x0 is a point of discontinuity of the first kind of the function f, then the Bernstein polynomials Bn(f, x0) converge to the average of the one-sided limits on the right and on the left of the function f at the point x0. In 2009, Telyakovskii in (5) extended the asymptotic formulas for the deviations of the Bernstein polynomials from the differentiable functions at the first-kind discontinuity points of the highest derivatives of even order and demonstrated the same result fails for the odd order case. Then in 2010, Tonkov in (6) found the right formulation and proved the result that was missing in the odd-order case. It turned out that the limit in the odd order case is related to the jump of the highest derivative. The proofs in these two cases look similar but have many subtle differences, so it is desirable to find out if there is a unifying principle for treating both cases. In this thesis, we obtain a unified formulation and proof for the asymptotic results of both Telyakovskii and Tonkov and discuss extension of these results in the case where the highest derivative of the function is only assumed to be bounded at the point under study.

Thesis (doctoral)--Bonn, 1997. / On t.p. x̲ and y̲ are superscript. Includes bibliographical references (p. 117-119).

Thesis (M.S.)--West Virginia University, 1998. / Title from document title page. "Fall 1998." Document formatted into pages; contains iii, 28 p. : ill. (some col.). Includes abstract. Includes bibliographical references (p. 27-28).

Submitted by Maike Costa (maiksebas@gmail.com) on 2016-03-29T12:30:28Z No. of bitstreams: 1 arquivototal.pdf: 6766956 bytes, checksum: 688f149f50bc50fabc326678e6942517 (MD5) / Made available in DSpace on 2016-03-29T12:30:28Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 6766956 bytes, checksum: 688f149f50bc50fabc326678e6942517 (MD5) Previous issue date: 2015-02-09 / In this work we will make an introduction an important application mathematics called Bézier curves. The history of this curve originated in industry automobile French , and found many applications in various elds of science. Revisit some concepts such as parametric functions, polynomials Bernstein and interpolation for de nition the curves Bézier. We will discuss the algorithm Casteljau which facilitates the construction of the curve and determine derivative. Throughout the text we will implement some examples with Geogebra software and LATEX in addition to discuss relevant issues that arouse public interest. / Neste trabalho fazemos uma introdução às Curvas de Bézier, importante item da aplicação matemática que originou-se na indústria automobilística francesa e que têm aplicações em várias áreas cientí cas. Diversos conceitos básicos são revisitados tais como curvas de nidas parametricamente, polinômios de Bernstein e polinômios de interpolação. Ao longo do texto, é abordado o algoritmo de Casteljau para construção de curva e suas derivadas. São implementados exemplos de construção usando o GeoGebra e LATEX.