Further Properties of Quantum Spline Spaces

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Budakçı G., Oruç H.

MATHEMATICS, cilt.8, sa.10, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 10
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3390/math8101770
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: quantum splines, q-B-splines, divided differences, q-derivatives, q-integrals
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

We construct q-B-splines using a new form of truncated power functions. We give basic properties to show that q-B-splines form a basis for quantum spline spaces. On the other hand, we derive algorithmic formulas for 1/q-integration and 1/q-differentiation for q-spline functions. Moreover, we show a way to find the polynomial pieces on each interval of a q-spline function.