Zobrazeno 1 - 10
of 99
pro vyhledávání: '"CHASKALOVIC, Joël"'
Autor:
Chaskalovic, Joël, Assous, Franck
In this paper, we derive an optimal first-order Taylor-like formula. In a seminal paper [14], we introduced a new first-order Taylor-like formula that yields a reduced remainder compared to the classical Taylor's formula. Here, we relax the assumptio
Externí odkaz:
http://arxiv.org/abs/2311.13989
Autor:
Chaskalovic, Joel, Assous, Franck
In this paper, we present an approach to enhance interpolation and approximation error estimates. Based on a previously derived first-order Taylor-like formula, we demonstrate its applicability in improving the $P_1$-interpolation error estimate. Fol
Externí odkaz:
http://arxiv.org/abs/2310.19483
Autor:
Chaskalovic, Joel, Assous, Franck
Based on a new Taylor-like formula, we derived an improved interpolation error estimate in $W^{1,p}$. We compare it with the classical error estimates based on the standard Taylor formula, and also with the corresponding interpolation error estimate,
Externí odkaz:
http://arxiv.org/abs/2310.19639
Autor:
Chaskalovic, Joel, Assous, Franck
The aim of this paper is to derive a refined first-order expansion formula in Rn, the goal being to get an optimal reduced remainder, compared to the one obtained by usual Taylor's formula. For a given function, the formula we derived is obtained by
Externí odkaz:
http://arxiv.org/abs/2209.15286
Autor:
Chaskalovic, Joël, Assous, Franck
Publikováno v:
In Journal of Computational and Applied Mathematics 1 January 2025 453
This paper is devoted to a new first order Taylor-like formula where the corresponding remainder is strongly reduced in comparison with the usual one which appears in the classical Taylor's formula. To derive this new formula, we introduce a linear c
Externí odkaz:
http://arxiv.org/abs/2112.14162
Publikováno v:
In Journal of Computational and Applied Mathematics 1 March 2024 438
Autor:
Chaskalovic, Joël, Assous, Franck
Publikováno v:
In Journal of Computational and Applied Mathematics 15 March 2025 457