Refine
Document Type
- Conference Proceeding (38)
- Article (22)
- Doctoral Thesis (16)
- Part of a Book (10)
- Bachelor Thesis (8)
- Master's Thesis (3)
- Book (2)
- Periodical (2)
- Study Thesis (2)
- Habilitation (1)
Institute
- Graduiertenkolleg 1462 (19)
- In Zusammenarbeit mit der Bauhaus-Universität Weimar (19)
- Institut für Strukturmechanik (ISM) (18)
- Universitätsbibliothek (11)
- Professur Bauphysik (8)
- Professur Informatik in der Architektur (6)
- F. A. Finger-Institut für Baustoffkunde (FIB) (4)
- An-Institute (2)
- Institut für Europäische Urbanistik (2)
- Professur Bauchemie und Polymere Werkstoffe (2)
Keywords
- Angewandte Mathematik (50)
- Angewandte Informatik (36)
- Computerunterstütztes Verfahren (36)
- Strukturmechanik (14)
- Elektronisches Buch (7)
- Bauphysik (3)
- Bibliothek (3)
- E-Book-Reader (3)
- Urheberrecht (3)
- Architektur (2)
Year of publication
- 2012 (105) (remove)
The Bernstein polynomials are used for important applications in many branches of Mathematics and the other sciences, for instance, approximation theory, probability theory, statistic theory, num- ber theory, the solution of the di¤erential equations, numerical analysis, constructing Bezier curves, q-calculus, operator theory and applications in computer graphics. The Bernstein polynomials are used to construct Bezier curves. Bezier was an engineer with the Renault car company and set out in the early 1960’s to develop a curve formulation which would lend itself to shape design. Engineers may …nd it most understandable to think of Bezier curves in terms of the center of mass of a set of point masses. Therefore, in this paper, we study on generating functions and functional equations for these polynomials. By applying these functions, we investigate interpolation function and many properties of these polynomials.