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
收藏
页数：15
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