Weddle's Inequality via Katugampola Fractional Integrals

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.

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Publication Details

Journal
Universal Journal of Mathematics and Applications
Published
2025-11-27
DOI
https://doi.org/10.32323/ujma.1752277
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

Weddle's Inequality via Katugampola Fractional Integrals

Jamal El-Achky
Universal Journal of Mathematics and Applications
Mathematical Inequalities and Applications
article

Weddle's Inequality via Katugampola Fractional Integrals

Jamal El-Achky
article en

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.

Universal Journal of Mathematics and ApplicationsVol. 8(4)
Université Ibn-Tofail (MA)
Openalex Percentile: Top 50%
Mathematical Inequalities and Applications
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