Hermite–Hadamard type inequality for non-convex functions employing the Caputo–Fabrizio fractional integral

Faisal Yasin; Zeeshan Afzal; Muhammad Shaoib Saleem; Nazia Jahangir; Yilun Shang

doi:10.1080/27684830.2024.2366164

Hermite–Hadamard type inequality for non-convex functions employing the Caputo–Fabrizio fractional integral

Faisal Yasin, Zeeshan Afzal, Muhammad Shaoib Saleem, Nazia Jahangir, Yilun Shang^*

^*Corresponding author for this work

School of Computer Science

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

19 Downloads (Pure)

Abstract

Novel Hermite-Hadamard type inequalities for p-convex functions utilizing the Caputo-Fabrizio fractional integral are established. Additionally, fresh inequalities incorporating the Caputo-Fabrizio fractional integral operator are examined. Furthermore, applications to special means of the primary outcomes are presented.

Original language	English
Article number	2366164
Pages (from-to)	1-10
Number of pages	10
Journal	Research in Mathematics
Volume	11
Issue number	1
Early online date	26 Jun 2024
DOIs	https://doi.org/10.1080/27684830.2024.2366164
Publication status	Published - 31 Dec 2024

Keywords

Caputo–Fabrizio fractional integral
Hermite–Hadamard type inequalities
convex function
p-convex function

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10.1080/27684830.2024.2366164Licence: CC BY

Hermite-HadamardAccepted author manuscript, 133 KBLicence: CC BY
Hermite Hadamard type inequality for non-convex functions employing the Caputo Fabrizio fractional integralFinal published version, 1.58 MBLicence: CC BY

Cite this

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abstract = "Novel Hermite-Hadamard type inequalities for p-convex functions utilizing the Caputo-Fabrizio fractional integral are established. Additionally, fresh inequalities incorporating the Caputo-Fabrizio fractional integral operator are examined. Furthermore, applications to special means of the primary outcomes are presented.",

keywords = "Caputo–Fabrizio fractional integral, Hermite–Hadamard type inequalities, convex function, p-convex function",

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AU - Yasin, Faisal

AU - Afzal, Zeeshan

AU - Saleem, Muhammad Shaoib

AU - Jahangir, Nazia

AU - Shang, Yilun

PY - 2024/12/31

Y1 - 2024/12/31

N2 - Novel Hermite-Hadamard type inequalities for p-convex functions utilizing the Caputo-Fabrizio fractional integral are established. Additionally, fresh inequalities incorporating the Caputo-Fabrizio fractional integral operator are examined. Furthermore, applications to special means of the primary outcomes are presented.

AB - Novel Hermite-Hadamard type inequalities for p-convex functions utilizing the Caputo-Fabrizio fractional integral are established. Additionally, fresh inequalities incorporating the Caputo-Fabrizio fractional integral operator are examined. Furthermore, applications to special means of the primary outcomes are presented.

KW - Caputo–Fabrizio fractional integral

KW - Hermite–Hadamard type inequalities

KW - convex function

KW - p-convex function

UR - https://www.scopus.com/pages/publications/85197571402

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ER -

Hermite–Hadamard type inequality for non-convex functions employing the Caputo–Fabrizio fractional integral

Abstract

Keywords

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