A Note on Generating Functions for the Unification of the Bernstein Type Basis Functions

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KUCUKOGLU I., ŞİMŞEK Y.

FILOMAT, cilt.30, sa.4, ss.985-992, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1604985k
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.985-992
  • Anahtar Kelimeler: Bernstein type polynomials, Generating function, Knot sequence, Laplace transform, Binomial coefficients, Gamma and Beta functions, Hermite numbers, POLYNOMIALS, BERNOULLI
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.