Multivariate Interpolation Using Carlitz's Inversion Formulas

Research paper by Tian Xiao He

Indexed on: 13 Aug '16Published on: 01 Jan '03Published in: Journal of Computational Analysis and Applications

Abstract

Abstract Multivariate rational exponential Lagrange interpolation formulas, Hermite interpolation formulas, and Hermite–Fejér interpolation formulas of the Newton type are established by using Carlitz's inversion formulas. The recurrence relation for constructing Lagrange interpolation is also given. In addition, by setting q→1 in the obtained formulas, we obtain the corresponding polynomial interpolation formulas with combinatorial form.AbstractMultivariate rational exponential Lagrange interpolation formulas, Hermite interpolation formulas, and Hermite–Fejér interpolation formulas of the Newton type are established by using Carlitz's inversion formulas. The recurrence relation for constructing Lagrange interpolation is also given. In addition, by setting q→1 in the obtained formulas, we obtain the corresponding polynomial interpolation formulas with combinatorial form.