Unification of the Bernstein-type polynomials and their applications

被引：12

作者：

Simsek, Yilmaz ^{[1
]}

机构：

[1] Akdeniz Univ, Dept Math, Fac Sci, TR-07058 Antalya, Turkey

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

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;

D O I：

10.1186/1687-2770-2013-56

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：15

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