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

2018/11/06 by Orli Herscovici, Herscovici, Orli
Engineering · Mathematics · #05A30 #41A15 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1811.02336

openalex publication_date 2018/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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