Unification of the Bernstein-type polynomials and their applications
Department of Mathematics, Faculty of Science, University of Akdeniz, Antalya, TR-07058, Turkey
Boundary Value Problems 2013, 2013:56 doi:10.1186/1687-2770-2013-56Published: 20 March 2013
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.
MSC: 11B68, 12D10, 14F10, 26C05, 26C10, 30B40, 30C15, 42A38, 44A10.