Unification of the Bernstein-type polynomials and their applications
نویسنده
چکیده
*Correspondence: [email protected] Department of Mathematics, Faculty of Science, University of Akdeniz, Antalya, TR-07058, Turkey Abstract 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
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تاریخ انتشار 2013