Weddle's Inequality via Katugampola Fractional Integrals

Year 2025, Volume: 8 Issue: 4, 179 - 194, 11.12.2025

Jamal El-achky

https://doi.org/10.32323/ujma.1752277

Abstract

Integral inequalities represent an important and ongoing area of study in mathematical understanding. Due to their extensive use in science, fractional calculus approaches have been the subject of a great deal of research recently. An important concept in fractional calculus is the Katugampola fractional integral. In this work, we aim to investigate Weddle's type integral inequalities involving the Katugampola integral operators for functions whose first derivatives are convex. In order to accomplish this, we first suggest a novel integral identity. We develop several new fractional Weddle-like type inequalities using this identity. Special means and quadrature formula applications are given.

Keywords

Convex function , Katugampola fractional integrals , Weddle inequality

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