On Osculating Interpolation
arXiv:0812.4764h-index: 3
Originality Synthesis-oriented
AI Analysis
Provides a theoretical reformulation and new formula for interpolation, but the problem and impact are incremental for numerical analysis.
The paper reformulates the development of high-degree interpolation polynomials using function values and derivatives, and presents a new barycentric form variant.
The development of high-degree interpolation polynomials which use the values of the function and its subsequent derivatives is reformulated. Also, we present a variant of new formula in barycentric form.