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Further Properties of Quantum Spline Spaces

Author

Listed:
  • Gülter Budakçı

    (Department of Mathematics, Dokuz Eylül University, Fen Fakültesi, Tınaztepe Kampüsü, 35390 Buca, İzmir, Turkey
    These authors contributed equally to this work.)

  • Halil Oruç

    (Department of Mathematics, Dokuz Eylül University, Fen Fakültesi, Tınaztepe Kampüsü, 35390 Buca, İzmir, Turkey
    These authors contributed equally to this work.)

Abstract

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.

Suggested Citation

  • Gülter Budakçı & Halil Oruç, 2020. "Further Properties of Quantum Spline Spaces," Mathematics, MDPI, vol. 8(10), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1770-:d:427606
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