Unification of the Bernstein-type polynomials and their applications

Creative Commons License

Simsek Y.

BOUNDARY VALUE PROBLEMS, cilt.2013, 2013 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1687-2770-2013-56
  • Dergi Adı: BOUNDARY VALUE PROBLEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Bernstein polynomials, generating function, Bezier curves, Laplace transform, functional equation, high-order differential equations, Bernstein-Galerkin method, Bernoulli polynomials, Bernoulli numbers, Euler polynomials, Euler numbers, Genocchi polynomials, Genocchi numbers, Stirling numbers of the second kind, GENERATING-FUNCTIONS, BERNOULLI, EULER
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we investigate some new identities related to the unification of the Bernstein-type polynomials, Bernoulli polynomials, Euler numbers and Stirling numbers of the second kind. We also give some remarks and applications of the Bernstein-type polynomials related to solving high even-order differential equations by using the Bernstein-Galerkin method. We also give some applications on these polynomials and differential equations.