Work

Bridging Pre-Invex Mappings and Fractional Integrals: A Pathway to Iterative Schemes via Error Boundaries of Maclaurin’s Rule

Year: 2024

Type: article

Abstract: In this paper, we aim to investigate corrected Euler–Maclaurin inequalities involving pre-invex mappings within the framework of fractional calculus. We want to find a number of important results for differentiable pre-invex mappings and Riemann–Liouville (RL) fractional integrals so that we can make more accurate error estimates. Additionally, we present examples with graphical illustrations to substantiate our major findings and deduce several special cases under certain conditions. Afterwards, we introduce applications such as the linear combination of means, composite corrected Maclaurin’s rule, modified Bessel mappings, and novel iterative methods for solving nonlinear equations.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract8120734

Authors: Qi Liu, Rukhsar, Muhammad Uzair Awan, Bandar Bin-Mohsin, Muhammad Zakria Javed, Loredana Ciurdariu, Badreddine Meftah

Institutions: Anqing Normal University, Government College University, Faisalabad, King Saud University, Politehnica University of Timisoara, University of Guelma

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

OpenAlex ID: W4405371188

FWCI: 0.763

Cites: 30

Cited by: 1

Related to: 10