LAGRANGE INTERPOLATION ON TIME SCALES

Svetlin G. Georgiev; İnci M. Erhan

doi:10.11948/20200461

2022 Volume 12 Issue 4

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Svetlin G. Georgiev, İnci M. Erhan. LAGRANGE INTERPOLATION ON TIME SCALES[J]. Journal of Applied Analysis & Computation, 2022, 12(4): 1294-1307. doi: 10.11948/20200461

Citation:

Svetlin G. Georgiev, İnci M. Erhan. LAGRANGE INTERPOLATION ON TIME SCALES[J]. Journal of Applied Analysis & Computation, 2022, 12(4): 1294-1307. doi: 10.11948/20200461

LAGRANGE INTERPOLATION ON TIME SCALES

Svetlin G. Georgiev¹,
İnci M. Erhan^2, ,

1.
Sorbonne University, Paris, France
2.
Department of Mathematics, Atılım University, İncek, 06830 Ankara, Turkey

Corresponding author: Email: inci.erhan@atilim.edu.tr(İ. M. Erhan)

Abstract

Abstract

In this paper, we introduce the Lagrange interpolation polynomials on time scales. We define an alternative type of interpolation functions called $ \sigma$-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.
- Time scale /
- Lagrange interpolation /
- delta derivative
MSC: 41A05, 34N05, 65D05

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References

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