Work

A Fractional Version of Corrected Dual-Simpson's Type Inequality via s−convex Function with Applications

Year: 2025

Type: article

Abstract: Convexity plays a crucial role in mathematical analysis, offering profound insights into the behavior of functions and geometric shapes. Fractional integral operators generalize the classical concept of integration to non-integer orders. In this paper, we establish a new identity by using the Caputo--Fabrizio fractional integral operator. Then by using this new identity, we obtain the corrected dual Simpson's type inequalities for s−convex functions. By employing the well-known integral inequalities such as the Hölder's inequality and power-mean inequality, we obtain new error estimates. Furthermore, we discuss the applications to some special means and quadrature formula.

Source: Malaysian Journal of Mathematical Sciences

DOI: 10.47836/mjms.19.1.02

Authors: A. Munir, A. Qayyum, H. Budak, S. Qaisar, U. Ali, S. S. Supadi

Institutions: University of Science and Technology of China, University of Malaya, COMSATS University Islamabad, Düzce Üniversitesi, Institute of Southern Punjab

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4408837506

FWCI: 7.695

Cites: 24

Cited by: 4

Related to: 10