Work

On generalizations of some integral inequalities via lidstone green functions

Year: 2026

Type: article

Abstract: In this paper, we generalize the classical Hermite-Hadamard, Ostrowski, and Simpson type integral inequalities by using Lidstone interpolation polynomials and their associated Green functions. By incorporating the Riemann-Liouville fractional integral operator, we construct novel Ostrowski and Simpson-type inequalities whose remainder estimates are explicitly expressed in terms of fractional integrals and Lidstone-Green kernels. Our results contribute to the interplay between fractional calculus, interpolation theory, and classical analysis.

Source: Mathematical and Computer Modelling of Dynamical Systems

DOI: 10.1080/13873954.2026.2659385

Authors: Rubayyi T. Alqahtani, Mehmet Zeki Sarikaya

Institutions: Imam Mohammad ibn Saud Islamic University, Düzce Üniversitesi

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,533

Funders: Imam Mohammed Ibn Saud Islamic University, Al-Imam Muhammad Ibn Saud Islamic University