On construction of a new interpolation tool: cubic $q$-spline

Published 6 Nov 2018 in math.NA | (1811.02336v1)

Abstract: This work presents a new interpolation tool, namely, cubic $q$-spline. Our new analogue generalizes a well known classical cubic spline. This analogue, based on the Jackson $q$-derivative, replaces an interpolating piecewise cubic polynomial function by $q$-polynomials of degree three at most. The parameter $q$ provides a solution flexibility.

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Orli Herscovici

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