Work

Advancements in Bullen-type inequalities via fractional integral operators and their applications

Year: 2024

Type: article

Abstract: In this paper, we investigate Bullen-type inequalities applicable to functions that are twice-differentiable. To explore these advanced inequalities, we utilize generalized convexity and Riemann-type fractional integrals. A comparative analysis is provided to highlight the more refined inequalities from among the explored results. By exploring the limiting cases, a relation with existing literature is established. Several examples are also presented to illustrate the outcomes and their accuracy is validated through graphical analysis. Additionally, applications in generalized means are also discussed.

Source: Heliyon

DOI: 10.1016/j.heliyon.2024.e37246

Authors: Muhammad Samraiz, Zohaib Hassan, Saima Naheed, Miguel Vivas-Cortez, Rifaqat Ali, Tarik Lamoudan

Institutions: University of Sargodha, Pontificia Universidad Católica del Ecuador, King Khalid University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,100

Funders: King Khalid University, Pontificia Universidad Católica del Ecuador