BOUNDARY VALUE PROBLEMS, vol.2013, 2013 (SCI-Expanded)
Article / Article
BOUNDARY VALUE PROBLEMS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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
Akdeniz University Affiliated:
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.