A note on generating functions for the unification of the Bernstein type basis functions | Zendy

İrem Küçükoğlu | Zendy; Yılmaz Şimşek | Zendy

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A note on generating functions for the unification of the Bernstein type basis functions

Author(s) -

İrem Küçükoğlu,

Yılmaz Şimşek

Publication year - 2016

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1604985k

Subject(s) - mathematics , hermite polynomials , unification , basis (linear algebra) , type (biology) , bernstein polynomial , generating function , basis function , sequence (biology) , knot (papermaking) , pure mathematics , algebra over a field , mathematical analysis , geometry , computer science , ecology , genetics , chemical engineering , engineering , biology , programming language

In [3], Simsek unified generating function of the Bernstein basis functions. In this paper, by using knot sequence, we rewrite generating functions for the unification of the Bernstein type basis functions. By using these generating functions, we also find generating function for the Hermite type numbers. We investigate some properties of this functions and these basis. Finally, we simulate these polynomials with their plots for some selected numerical values.

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