Further Properties of Quantum Spline Spaces.

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. [ABSTRACT FROM AUTHOR]