1 citations · 2 across the 12 of their papers we have counts for
13 papers
An optimal first-order Taylor-like formula with a minimized remainder
Joël Chaskalovic, Franck Assous
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 co…
Improved -interpolation error estimates in : Application to finite element method
Joel Chaskalovic, Franck Assous
Based on a new Taylor-like formula, we derived an improved interpolation error estimate in . We compare it with the classical error estimates based on the standard Taylor…
Enhancing Interpolation and Approximation Error Estimates Using a Novel Taylor-like Formula
Joel Chaskalovic, Franck Assous
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…
A new second order Taylor-like theorem with an optimized reduced remainder
J. Chaskalovic, F. Assous
In this paper, we derive a variant of the Taylor theorem to obtain a new minimized remainder. For a given function defined on the interval , this formula is derived by i…
A New First Order Taylor-like Theorem With An Optimized Reduced Remainder
Joel Chaskalovic, Hessam Jamshidipour
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…
Generalized Beta Prime Distribution Applied to Finite Element Error Approximation
Joel Chaskalovic, Franck Assous
In this paper we propose a new generation of probability laws based on the generalized Beta prime distribution to estimate the relative accuracy between two Lagrange finite element…