Further Properties of Quantum Spline Spaces

Gülter Budakçı and Halil Oruç
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Gülter Budakçı: Department of Mathematics, Dokuz Eylül University, Fen Fakültesi, Tınaztepe Kampüsü, 35390 Buca, İzmir, Turkey
Halil Oruç: Department of Mathematics, Dokuz Eylül University, Fen Fakültesi, Tınaztepe Kampüsü, 35390 Buca, İzmir, Turkey

Mathematics, 2020, vol. 8, issue 10, 1-10

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.

Keywords: quantum splines; q-B-splines; divided differences; q-derivatives; q-integrals (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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