LAGRANGE INTERPOLATION ON TIME SCALES

作者：Svetlin G. Georgiev, İncı M. Erhan · 发表于：Journal of Applied Analysis & Computation · 年份：2022 · DOI：10.11948/20200461 · 被引用次数：4 · 研究领域：Nonlinear Differential Equations Analysis、Fractional Differential Equations Solutions、Mathematical functions and polynomials

In this paper, we introduce the Lagrange interpolation polynomials on time scales. We define an alternative type of interpolation functions called σ -Lagrange interpolation polynomials. We discuss some properties of these polynomials and show that on some special time scales, including the set of real numbers, these two types of interpolation polynomials coincide. We apply our results on some particular examples.