GENERATING FUNCTIONS FOR THE q-BERNSTEIN BASES
SIAM JOURNAL ON DISCRETE MATHEMATICS, cilt.28, sa.3, ss.1009-1025, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 28 Sayı: 3
- Basım Tarihi: 2014
- Doi Numarası: 10.1137/130921623
- Dergi Adı: SIAM JOURNAL ON DISCRETE MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1009-1025
- Anahtar Kelimeler: q-Bernstein bases, generating functions, q-exponential functions, q-calculus, q-Bezier curves, IDENTITIES, ALGORITHMS
- Akdeniz Üniversitesi Adresli: Evet
Özet
We derive explicit formulas for the generating functions of the q-Bernstein basis functions in terms of q-exponential functions. Using these explicit formulas, we derive a collection of functional equations for these generating functions which we apply to prove a variety of identities, some old and some new, for the q-Bernstein bases.