Semantic Scholar
Open Access
2010
86 sitasi
A note on q-Bernstein polynomials
Taekyun Kim
Abstrak
Recently, Simsek-Acikgoz [17] and Kim-Jang-Yi [9] have studied the q-extension of Bernstein polynomials. In the present paper, we suggest q-extensions of Bernstein polynomials of degree n which differ from the q-Bernstein polynomials of Simsek-Acikgoz [17] and Kim-Jang-Yi [9]. Using these q-Bernstein polynomials, we derive fermionic p-adic integral representations of several q-Bernstein-type polynomials. Finally, we investigate identities between q-Bernstein polynomials and q-Euler numbers.
Topik & Kata Kunci
Penulis (1)
T
Taekyun Kim
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2010
- Bahasa
- en
- Total Sitasi
- 86×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1134/S1061920811010080
- Akses
- Open Access ✓