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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.22 No.3
- 발행연도
- 2012.1
- 수록면
- 399 - 406 (8page)
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The present paper deals with Bernstein polynomials and Frobenius-Euler numbers and polynomials. We apply the method of generating function and fermionic p-adic integral representation on Z_p, which are exploited to derive further classes of Bernstein polynomials and Frobenius-Euler numbers and polynomials. To be more precise we summarize our results as follows,we obtain some combinatorial relations between Frobenius-Euler numbers and polynomials. Furthermore, we derive an integral representation of Bernstein polynomials of degree n on Z_p. Also we deduce a fermionic p-adic integral rep-resentation of product Bernstein polynomials of di¤erent degrees n_1, n_2 ,... on Z_p and show that it can be written with Frobenius-Euler numbers which yields a deeper insight into the e¤ectiveness of this type of generalizations.
Our applications possess a number of interesting properties which we state in this paper.
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