Work

Extended interpolation on the square and a mixed interpolating sequence

Year: 2025

Type: article

Abstract: This paper investigates an extended interpolation process based on the zeros of Jacobi polynomials to approximate functions on $$[-1,1]^2$$ [ - 1 , 1 ] 2 . By combining a classical Lagrange interpolating polynomial sequence with its extended counterpart, a new mixed polynomial sequence is introduced, which significantly reduces the number of required function evaluations. Convergence conditions in suitable weighted function spaces are rigorously analyzed and some numerical tests are presented to support the efficiency of the proposed scheme.

Source: Computational and Applied Mathematics

DOI: 10.1007/s40314-025-03489-0

Authors: Ahmed Nasri, Domenico Mezzanotte, Donatella Occorsio

Institutions: Badji Mokhtar-Annaba University, University of Jijel, University of Basilicata, Istituto per le Applicazioni del Calcolo Mauro Picone, National Research Council

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390