Weddle's Inequality via Katugampola Fractional Integrals

Jamal El-achky

doi:10.32323/ujma.1752277

Weddle's Inequality via Katugampola Fractional Integrals

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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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

Jamal El-achky ^*
0000-0002-6321-4415
Morocco

Early Pub Date

November 27, 2025

Publication Date

December 11, 2025

Submission Date

July 27, 2025

Acceptance Date

November 4, 2025

Published in Issue

Year 2025 Volume: 8 Number: 4

DOI

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

IZ

https://izlik.org/JA69HD44DH

APA

El-achky, J. (2025). Weddle’s Inequality via Katugampola Fractional Integrals. Universal Journal of Mathematics and Applications, 8(4), 179-194. https://doi.org/10.32323/ujma.1752277

AMA

1.El-achky J. Weddle’s Inequality via Katugampola Fractional Integrals. Univ. J. Math. Appl. 2025;8(4):179-194. doi:10.32323/ujma.1752277

Chicago

El-achky, Jamal. 2025. “Weddle’s Inequality via Katugampola Fractional Integrals”. Universal Journal of Mathematics and Applications 8 (4): 179-94. https://doi.org/10.32323/ujma.1752277.

EndNote

El-achky J (December 1, 2025) Weddle’s Inequality via Katugampola Fractional Integrals. Universal Journal of Mathematics and Applications 8 4 179–194.

IEEE

[1]J. El-achky, “Weddle’s Inequality via Katugampola Fractional Integrals”, Univ. J. Math. Appl., vol. 8, no. 4, pp. 179–194, Dec. 2025, doi: 10.32323/ujma.1752277.

ISNAD

El-achky, Jamal. “Weddle’s Inequality via Katugampola Fractional Integrals”. Universal Journal of Mathematics and Applications 8/4 (December 1, 2025): 179-194. https://doi.org/10.32323/ujma.1752277.

JAMA

1.El-achky J. Weddle’s Inequality via Katugampola Fractional Integrals. Univ. J. Math. Appl. 2025;8:179–194.

MLA

El-achky, Jamal. “Weddle’s Inequality via Katugampola Fractional Integrals”. Universal Journal of Mathematics and Applications, vol. 8, no. 4, Dec. 2025, pp. 179-94, doi:10.32323/ujma.1752277.

Vancouver

1.Jamal El-achky. Weddle’s Inequality via Katugampola Fractional Integrals. Univ. J. Math. Appl. 2025 Dec. 1;8(4):179-94. doi:10.32323/ujma.1752277